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113015542032 = 24333495871277
BaseRepresentation
bin110100101000001000…
…0000101000100010000
3101210201020200101101000
41221100100011010100
53322423434321112
6123530231142000
711110426154121
oct1512020050420
9353636611330
10113015542032
1143a25366508
1219aa0814900
13a8711936c3
1456818b4048
152e16c0b7dc
hex1a50405110

113015542032 has 160 divisors (see below), whose sum is σ = 326135376000. Its totient is φ = 37470546432.

The previous prime is 113015542019. The next prime is 113015542051. The reversal of 113015542032 is 230245510311.

113015542032 is a `hidden beast` number, since 113 + 0 + 1 + 5 + 542 + 0 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113015541987 and 113015542005.

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, 88500178 + ... + 88501454.

It is an arithmetic number, because the mean of its divisors is an integer number (2038346100).

Almost surely, 2113015542032 is an apocalyptic number.

113015542032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113015542032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163067688000).

113015542032 is an abundant number, since it is smaller than the sum of its proper divisors (213119833968).

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

113015542032 is a wasteful number, since it uses less digits than its factorization.

113015542032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 113015542032 in words is "one hundred thirteen billion, fifteen million, five hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 349 432 587 698 1047 1174 1277 1396 1761 2094 2348 2554 2792 3141 3522 3831 4188 4696 5108 5283 5584 6282 7044 7662 8376 9392 9423 10216 10566 11493 12564 14088 15324 15849 16752 18846 20432 21132 22986 25128 28176 30648 31698 34479 37692 42264 45972 50256 61296 63396 68958 75384 84528 91944 126792 137916 150768 183888 204863 253584 275832 409726 445673 551664 614589 749599 819452 891346 1229178 1337019 1499198 1638904 1782692 1843767 2248797 2458356 2674038 2998396 3277808 3565384 3687534 4011057 4497594 4916712 5348076 5531301 5996792 6746391 7130768 7375068 8022114 8995188 9833424 10696152 11062602 11993584 12033171 13492782 14750136 16044228 17990376 20239173 21392304 22125204 24066342 26985564 29500272 32088456 35980752 40478346 44250408 48132684 53971128 64176912 80956692 88500816 96265368 107942256 161913384 192530736 261610051 323826768 523220102 784830153 1046440204 1569660306 2092880408 2354490459 3139320612 4185760816 4708980918 6278641224 7063471377 9417961836 12557282448 14126942754 18835923672 28253885508 37671847344 56507771016 113015542032