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100540421256 = 233111373478011
BaseRepresentation
bin101110110100010101…
…1010001010010001000
3100121111211112120211210
41131220223101102020
53121401321440011
6114104310053120
710156325323452
oct1355053212210
9317454476753
10100540421256
11397034a0640
121759a94a1a0
139633778032
144c1ab392d2
1529368d96a6
hex1768ad1488

100540421256 has 128 divisors (see below), whose sum is σ = 277033167360. Its totient is φ = 30153484800.

The previous prime is 100540421243. The next prime is 100540421263. The reversal of 100540421256 is 652124045001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12546291 + ... + 12554301.

It is an arithmetic number, because the mean of its divisors is an integer number (2164321620).

Almost surely, 2100540421256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100540421256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138516583680).

100540421256 is an abundant number, since it is smaller than the sum of its proper divisors (176492746104).

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

100540421256 is a wasteful number, since it uses less digits than its factorization.

100540421256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8515 (or 8511 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 100540421256 its reverse (652124045001), we get a palindrome (752664466257).

The spelling of 100540421256 in words is "one hundred billion, five hundred forty million, four hundred twenty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 137 264 274 347 411 548 694 822 1041 1096 1388 1507 1644 2082 2776 3014 3288 3817 4164 4521 6028 7634 8011 8328 9042 11451 12056 15268 16022 18084 22902 24033 30536 32044 36168 45804 47539 48066 64088 88121 91608 95078 96132 142617 176242 190156 192264 264363 285234 352484 380312 522929 528726 570468 704968 1045858 1057452 1097507 1140936 1568787 2091716 2114904 2195014 2779817 3137574 3292521 4183432 4390028 5559634 6275148 6585042 8339451 8780056 11119268 12072577 12550296 13170084 16678902 22238536 24145154 26340168 30577987 33357804 36217731 48290308 61155974 66715608 72435462 91733961 96580616 122311948 144870924 183467922 244623896 289741848 366935844 380834929 733871688 761669858 1142504787 1523339716 2285009574 3046679432 4189184219 4570019148 8378368438 9140038296 12567552657 16756736876 25135105314 33513473752 50270210628 100540421256