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116101105056 = 2534172634829
BaseRepresentation
bin110110000100000101…
…0100100010110100000
3102002200021201020010000
41230020022210112200
53400233340330211
6125200333340000
711250044052516
oct1541012442640
9362607636100
10116101105056
11452690576a2
121a602037600
13ac43505441
1458955d04b6
153047a52656
hex1b082a45a0

116101105056 has 120 divisors (see below), whose sum is σ = 361535563620. Its totient is φ = 36423862272.

The previous prime is 116101105037. The next prime is 116101105103. The reversal of 116101105056 is 650501101611.

It can be written as a sum of positive squares in 2 ways, for example, as 101391296400 + 14709808656 = 318420^2 + 121284^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1273351 + ... + 1361478.

Almost surely, 2116101105056 is an apocalyptic number.

116101105056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116101105056 is an abundant number, since it is smaller than the sum of its proper divisors (245434458564).

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

116101105056 is a wasteful number, since it uses less digits than its factorization.

116101105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634868 (or 2634851 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 116101105056 its reverse (650501101611), we get a palindrome (766602206667).

The spelling of 116101105056 in words is "one hundred sixteen billion, one hundred one million, one hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 14688 22032 44064 2634829 5269658 7904487 10539316 15808974 21078632 23713461 31617948 42157264 44792093 47426922 63235896 71140383 84314528 89584186 94853844 126471792 134376279 142280766 179168372 189707688 213421149 252943584 268752558 284561532 358336744 379415376 403128837 426842298 537505116 569123064 716673488 758830752 806257674 853684596 1075010232 1138246128 1209386511 1433346976 1612515348 1707369192 2150020464 2276492256 2418773022 3225030696 3414738384 3628159533 4300040928 4837546044 6450061392 6829476768 7256319066 9675092088 12900122784 14512638132 19350184176 29025276264 38700368352 58050552528 116101105056