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113731004232 = 23361931113293
BaseRepresentation
bin110100111101011100…
…1010110011101001000
3101212120002221122000000
41221322321112131020
53330410114113412
6124125230043000
711134234404546
oct1517271263510
9355502848000
10113731004232
114426220688a
121a060349460
13a956487911
14570c914d96
152e599354dc
hex1a7ae56748

113731004232 has 448 divisors, whose sum is σ = 351676684800. Its totient is φ = 34331351040.

The previous prime is 113731004209. The next prime is 113731004237. The reversal of 113731004232 is 232400137311.

It is a happy number.

113731004232 is a `hidden beast` number, since 1 + 137 + 3 + 100 + 423 + 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 = 113731004196 and 113731004205.

It is not an unprimeable number, because it can be changed into a prime (113731004237) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 388160278 + ... + 388160570.

It is an arithmetic number, because the mean of its divisors is an integer number (784992600).

Almost surely, 2113731004232 is an apocalyptic number.

113731004232 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 113731004232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175838342400).

113731004232 is an abundant number, since it is smaller than the sum of its proper divisors (237945680568).

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

113731004232 is a wasteful number, since it uses less digits than its factorization.

113731004232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 113731004232 in words is "one hundred thirteen billion, seven hundred thirty-one million, four thousand, two hundred thirty-two".