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113112293952 = 2637234321979
BaseRepresentation
bin110100101011000000…
…1001010001001000000
3101210221222201220001110
41221112001022021000
53323123221401302
6123544005003320
711113012430520
oct1512601121100
9353858656043
10113112293952
1143a74a39679
1219b090b3540
13a88823a968
14569069b680
152e2046db6c
hex1a5604a240

113112293952 has 336 divisors, whose sum is σ = 365578583040. Its totient is φ = 30178520064.

The previous prime is 113112293927. The next prime is 113112293963. The reversal of 113112293952 is 259392211311.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 113112293952.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57155299 + ... + 57157277.

Almost surely, 2113112293952 is an apocalyptic number.

113112293952 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 113112293952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182789291520).

113112293952 is an abundant number, since it is smaller than the sum of its proper divisors (252466289088).

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

113112293952 is a wasteful number, since it uses less digits than its factorization.

113112293952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2057 counting only the distinct ones).

The product of its digits is 29160, while the sum is 39.

The spelling of 113112293952 in words is "one hundred thirteen billion, one hundred twelve million, two hundred ninety-three thousand, nine hundred fifty-two".