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100096859880 = 23325325785369
BaseRepresentation
bin101110100111000111…
…1001101111011101000
3100120100220220100000200
41131032033031323220
53114444244004010
6113552303032200
710142331161553
oct1351617157350
9316326810020
10100096859880
11394a6082396
121749629b660
1395928c3b94
144bb7c7569a
15290c9bdcc0
hex174e3cdee8

100096859880 has 96 divisors (see below), whose sum is σ = 325418488200. Its totient is φ = 26683987968.

The previous prime is 100096859833. The next prime is 100096859897. The reversal of 100096859880 is 88958690001.

It can be written as a sum of positive squares in 4 ways, for example, as 65721475044 + 34375384836 = 256362^2 + 185406^2 .

It is a super-2 number, since 2×1000968598802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1129836 + ... + 1215204.

Almost surely, 2100096859880 is an apocalyptic number.

100096859880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100096859880 is an abundant number, since it is smaller than the sum of its proper divisors (225321628320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100096859880 is a wasteful number, since it uses less digits than its factorization.

100096859880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88643 (or 88636 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 100096859880 in words is "one hundred billion, ninety-six million, eight hundred fifty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3257 6514 9771 13028 16285 19542 26056 29313 32570 39084 48855 58626 65140 78168 85369 97710 117252 130280 146565 170738 195420 234504 256107 293130 341476 390840 426845 512214 586260 682952 768321 853690 1024428 1172520 1280535 1536642 1707380 2048856 2561070 3073284 3414760 3841605 5122140 6146568 7683210 10244280 15366420 30732840 278046833 556093666 834140499 1112187332 1390234165 1668280998 2224374664 2502421497 2780468330 3336561996 4170702495 5004842994 5560936660 6673123992 8341404990 10009685988 11121873320 12512107485 16682809980 20019371976 25024214970 33365619960 50048429940 100096859880