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112902525120 = 26357112236037
BaseRepresentation
bin110100100100110000…
…0111101000011000000
3101210102101000112022110
41221021200331003000
53322211021300440
6123511112535320
711104554425550
oct1511140750300
9353371015273
10112902525120
1143977594200
1219a6a9b1540
13a8539430a8
145670895160
152e0bd35080
hex1a4983d0c0

112902525120 has 672 divisors, whose sum is σ = 469960049664. Its totient is φ = 22436536320.

The previous prime is 112902525101. The next prime is 112902525133. The reversal of 112902525120 is 21525209211.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18698742 + ... + 18704778.

It is an arithmetic number, because the mean of its divisors is an integer number (699345312).

Almost surely, 2112902525120 is an apocalyptic number.

112902525120 is a gapful number since it is divisible by the number (10) 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 112902525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234980024832).

112902525120 is an abundant number, since it is smaller than the sum of its proper divisors (357057524544).

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

112902525120 is a wasteful number, since it uses less digits than its factorization.

112902525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6109 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 112902525120 in words is "one hundred twelve billion, nine hundred two million, five hundred twenty-five thousand, one hundred twenty".