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113384232000 = 26335313149271
BaseRepresentation
bin110100110011000111…
…0100001010001000000
3101211122221102202221000
41221212032201101000
53324202330411000
6124031001332000
711122524033024
oct1514616412100
9354587382830
10113384232000
11440a4496766
1219b84197000
13a8cc691950
1456b8848384
152e39288000
hex1a663a1440

113384232000 has 896 divisors, whose sum is σ = 452664576000. Its totient is φ = 27620352000.

The previous prime is 113384231977. The next prime is 113384232047. The reversal of 113384232000 is 232483311.

113384232000 is a `hidden beast` number, since 1 + 1 + 3 + 38 + 423 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 418391865 + ... + 418392135.

It is an arithmetic number, because the mean of its divisors is an integer number (505206000).

Almost surely, 2113384232000 is an apocalyptic number.

113384232000 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 113384232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226332288000).

113384232000 is an abundant number, since it is smaller than the sum of its proper divisors (339280344000).

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

113384232000 is a wasteful number, since it uses less digits than its factorization.

113384232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 113384232000 in words is "one hundred thirteen billion, three hundred eighty-four million, two hundred thirty-two thousand".