Английская Википедия:100,000,000

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Шаблон:Redirect Шаблон:Redirect Шаблон:Infobox number 100,000,000 (one hundred million) is the natural number following 99,999,999 and preceding 100,000,001.

In scientific notation, it is written as 108.

East Asian languages treat 100,000,000 as a counting unit, significant as the square of a myriad, also a counting unit. In Chinese, Korean, and Japanese respectively it is yi (Шаблон:Lang-zh) (or Шаблон:Lang-zh in ancient texts), eok (Шаблон:Lang) and oku (Шаблон:Nihongo2). These languages do not have single words for a thousand to the second, third, fifth powers, etc.

100,000,000 is also the fourth power of 100 and also the square of 10000.

Selected 9-digit numbers (100,000,001–999,999,999)

100,000,001 to 199,999,999

  • 100,000,007 = smallest nine digit prime[1]
  • 100,005,153 = smallest triangular number with 9 digits and the 14,142nd triangular number
  • 100,020,001 = 100012, palindromic square
  • 100,544,625 = 4653, the smallest 9-digit cube
  • 102,030,201 = 101012, palindromic square
  • 102,334,155 = Fibonacci number
  • 102,400,000 = 405
  • 104,060,401 = 102012 = 1014, palindromic square
  • 105,413,504 = 147
  • 107,890,609 = Wedderburn-Etherington number[2]
  • 111,111,111 = repunit, square root of 12345678987654321
  • 111,111,113 = Chen prime, Sophie Germain prime, cousin prime.
  • 113,379,904 = 106482 = 4843 = 226
  • 115,856,201 = 415
  • 119,481,296 = logarithmic number[3]
  • 120,528,657 = number of centered hydrocarbons with 27 carbon atoms[4]
  • 121,242,121 = 110112, palindromic square
  • 123,454,321 = 111112, palindromic square
  • 123,456,789 = smallest zeroless base 10 pandigital number
  • 125,686,521 = 112112, palindromic square
  • 126,390,032 = number of 34-bead necklaces (turning over is allowed) where complements are equivalent[5]
  • 126,491,971 = Leonardo prime
  • 129,140,163 = 317
  • 129,145,076 = Leyland number
  • 129,644,790 = Catalan number[6]
  • 130,150,588 = number of 33-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[7]
  • 130,691,232 = 425
  • 134,217,728 = 5123 = 89 = 227
  • 134,218,457 = Leyland number
  • 136,048,896 = 116642 = 1084
  • 139,854,276 = 118262, the smallest zeroless base 10 pandigital square
  • 142,547,559 = Motzkin number[8]
  • 147,008,443 = 435
  • 148,035,889 = 121672 = 5293 = 236
  • 157,115,917 – number of parallelogram polyominoes with 24 cells.[9]
  • 157,351,936 = 125442 = 1124
  • 164,916,224 = 445
  • 165,580,141 = Fibonacci number
  • 167,444,795 = cyclic number in base 6
  • 170,859,375 = 157
  • 171,794,492 = number of reduced trees with 36 nodes[10]
  • 177,264,449 = Leyland number
  • 179,424,673 = 10,000,000th prime number
  • 184,528,125 = 455
  • 188,378,402 = number of ways to partition {1,2,...,11} and then partition each cell (block) into subcells.[11]
  • 190,899,322 = Bell number[12]
  • 191,102,976 = 138242 = 5763 = 246
  • 192,622,052 = number of free 18-ominoes
  • 199,960,004 = number of surface-points of a tetrahedron with edge-length 9999[13]

200,000,000 to 299,999,999

  • 200,000,002 = number of surface-points of a tetrahedron with edge-length 10000[13]
  • 205,962,976 = 465
  • 210,295,326 = Fine number
  • 211,016,256 = number of primitive polynomials of degree 33 over GF(2)[14]
  • 212,890,625 = 1-automorphic number[15]
  • 214,358,881 = 146412 = 1214 = 118
  • 222,222,222 = repdigit
  • 222,222,227 = safe prime
  • 223,092,870 = the product of the first nine prime numbers, thus the ninth primorial
  • 225,058,681 = Pell number[16]
  • 225,331,713 = self-descriptive number in base 9
  • 229,345,007 = 475
  • 232,792,560 = superior highly composite number;[17] colossally abundant number;[18] the smallest number divisible by all the numbers 1 through 22
  • 244,140,625 = 156252 = 1253 = 256 = 512
  • 244,389,457 = Leyland number
  • 244,330,711 = n such that n | (3n + 5)[19]
  • 245,492,244 = number of 35-bead necklaces (turning over is allowed) where complements are equivalent[5]
  • 252,648,992 = number of 34-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[7]
  • 253,450,711 = Wedderburn-Etherington prime[2]
  • 254,803,968 = 485
  • 267,914,296 = Fibonacci number
  • 268,435,456 = 163842 = 1284 = 167 = 414 = 228
  • 268,436,240 = Leyland number
  • 268,473,872 = Leyland number
  • 272,400,600 = the number of terms of the harmonic series required to pass 20
  • 275,305,224 = the number of magic squares of order 5, excluding rotations and reflections
  • 282,475,249 = 168072 = 495 = 710
  • 292,475,249 = Leyland number

300,000,000 to 399,999,999

  • 308,915,776 = 175762 = 6763 = 266
  • 309,576,725 = number of centered hydrocarbons with 28 carbon atoms[4]
  • 312,500,000 = 505
  • 321,534,781 = Markov prime
  • 331,160,281 = Leonardo prime
  • 333,333,333 = repdigit
  • 336,849,900 = number of primitive polynomials of degree 34 over GF(2)[14]
  • 345,025,251 = 515
  • 350,238,175 = number of reduced trees with 37 nodes[10]
  • 362,802,072 – number of parallelogram polyominoes with 25 cells[9]
  • 364,568,617 = Leyland number
  • 365,496,202 = n such that n | (3n + 5)[19]
  • 367,567,200 = colossally abundant number,[18] superior highly composite number[20]
  • 380,204,032 = 525
  • 381,654,729 = the only polydivisible number that is also a zeroless pandigital number
  • 387,420,489 = 196832 = 7293 = 276 = 99 = 318 and in tetration notation 29
  • 387,426,321 = Leyland number

400,000,000 to 499,999,999

  • 400,080,004 = 200022, palindromic square
  • 400,763,223 = Motzkin number[8]
  • 404,090,404 = 201022, palindromic square
  • 405,071,317 = 11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99
  • 410,338,673 = 177
  • 418,195,493 = 535
  • 429,981,696 = 207362 = 1444 = 128 = 100,000,00012 AKA a gross-great-great-gross (10012 great-great-grosses)
  • 433,494,437 = Fibonacci prime, Markov prime
  • 442,386,619 = alternating factorial[21]
  • 444,101,658 = number of (unordered, unlabeled) rooted trimmed trees with 27 nodes[22]
  • 444,444,444 = repdigit
  • 455,052,511 = number of primes under 1010
  • 459,165,024 = 545
  • 467,871,369 = number of triangle-free graphs on 14 vertices[23]
  • 477,353,376 = number of 36-bead necklaces (turning over is allowed) where complements are equivalent[5]
  • 477,638,700 = Catalan number[6]
  • 479,001,599 = factorial prime[24]
  • 479,001,600 = 12!
  • 481,890,304 = 219522 = 7843 = 286
  • 490,853,416 = number of 35-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[7]
  • 499,999,751 = Sophie Germain prime

500,000,000 to 599,999,999

  • 503,284,375 = 555
  • 522,808,225 = 228652, palindromic square
  • 535,828,591 = Leonardo prime
  • 536,870,911 = third composite Mersenne number with a prime exponent
  • 536,870,912 = 229
  • 536,871,753 = Leyland number
  • 542,474,231 = k such that the sum of the squares of the first k primes is divisible by k.[25]
  • 543,339,720 = Pell number[16]
  • 550,731,776 = 565
  • 554,999,445 = a Kaprekar constant for digit length 9 in base 10
  • 555,555,555 = repdigit
  • 574,304,985 = 19 + 29 + 39 + 49 + 59 + 69 + 79 + 89 + 99Шаблон:Hair space[26]
  • 575,023,344 = 14-th derivative of xx at x=1[27]
  • 594,823,321 = 243892 = 8413 = 296
  • 596,572,387 = Wedderburn-Etherington prime[2]

600,000,000 to 699,999,999

  • 601,692,057 = 575
  • 612,220,032 = 187
  • 617,323,716 = 248462, palindromic square
  • 635,318,657 = the smallest number that is the sum of two fourth powers in two different ways (Шаблон:Nowrap), of which Euler was aware.
  • 644,972,544 = 8643, 3-smooth number
  • 656,356,768 = 585
  • 666,666,666 = repdigit
  • 670,617,279 = highest stopping time integer under 109 for the Collatz conjecture

700,000,000 to 799,999,999

  • 701,408,733 = Fibonacci number
  • 714,924,299 = 595
  • 715,497,037 = number of reduced trees with 38 nodes[10]
  • 715,827,883 = Wagstaff prime,[28] Jacobsthal prime
  • 725,594,112 = number of primitive polynomials of degree 36 over GF(2)[14]
  • 729,000,000 = 270002 = 9003 = 306
  • 742,624,232 = number of free 19-ominoes
  • 774,840,978 = Leyland number
  • 777,600,000 = 605
  • 777,777,777 = repdigit
  • 778,483,932 = Fine number
  • 780,291,637 = Markov prime
  • 787,109,376 = 1-automorphic number[15]
  • 797,790,928 = number of centered hydrocarbons with 29 carbon atoms[4]

800,000,000 to 899,999,999

  • 815,730,721 = 138
  • 815,730,721 = 1694
  • 835,210,000 = 1704
  • 837,759,792 – number of parallelogram polyominoes with 26 cells.[9]
  • 844,596,301 = 615
  • 855,036,081 = 1714
  • 875,213,056 = 1724
  • 887,503,681 = 316
  • 888,888,888 – repdigit
  • 893,554,688 = 2-automorphic number[29]
  • 893,871,739 = 197
  • 895,745,041 = 1734

900,000,000 to 999,999,999

  • 906,150,257 = smallest counterexample to the Polya conjecture
  • 916,132,832 = 625
  • 923,187,456 = 303842, the largest zeroless pandigital square
  • 928,772,650 = number of 37-bead necklaces (turning over is allowed) where complements are equivalent[5]
  • 929,275,200 = number of primitive polynomials of degree 35 over GF(2)[14]
  • 942,060,249 = 306932, palindromic square
  • 987,654,321 = largest zeroless pandigital number
  • 992,436,543 = 635
  • 997,002,999 = 9993, the largest 9-digit cube
  • 999,950,884 = 316222, the largest 9-digit square
  • 999,961,560 = largest triangular number with 9 digits and the 44,720th triangular number
  • 999,999,937 = largest 9-digit prime number
  • 999,999,999 = repdigit

References

Шаблон:Reflist

Шаблон:Large numbers Шаблон:Integers

Партнерские ресурсы
Криптовалюты
Магазины
Хостинг
Разное

  1. ↑ Шаблон:Cite OEIS
  2. ↑ 2,0 2,1 2,2 Шаблон:Cite OEIS
  3. ↑ Шаблон:Cite OEIS
  4. ↑ 4,0 4,1 4,2 Шаблон:Cite OEIS
  5. ↑ 5,0 5,1 5,2 5,3 Шаблон:Cite OEIS
  6. ↑ 6,0 6,1 Шаблон:Cite OEIS
  7. ↑ 7,0 7,1 7,2 Шаблон:Cite OEIS
  8. ↑ 8,0 8,1 Шаблон:Cite OEIS
  9. ↑ 9,0 9,1 9,2 Шаблон:Cite OEIS
  10. ↑ 10,0 10,1 10,2 Шаблон:Cite OEIS
  11. ↑ Шаблон:Cite OEIS
  12. ↑ Шаблон:Cite web
  13. ↑ 13,0 13,1 Шаблон:Cite OEIS
  14. ↑ 14,0 14,1 14,2 14,3 Шаблон:Cite OEIS
  15. ↑ 15,0 15,1 Шаблон:Cite OEIS
  16. ↑ 16,0 16,1 Шаблон:Cite OEIS
  17. ↑ Шаблон:Cite web
  18. ↑ 18,0 18,1 Шаблон:Cite web
  19. ↑ 19,0 19,1 Шаблон:Cite OEIS
  20. ↑ Шаблон:Cite web
  21. ↑ Шаблон:Cite web
  22. ↑ Шаблон:Cite OEIS
  23. ↑ Шаблон:Cite OEIS
  24. ↑ Шаблон:Cite web
  25. ↑ Шаблон:Cite OEIS
  26. ↑ Шаблон:Cite OEIS
  27. ↑ Шаблон:Cite OEIS
  28. ↑ Шаблон:Cite web
  29. ↑ Шаблон:Cite OEIS
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