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112325713920 = 2133257192979
BaseRepresentation
bin110100010011100100…
…0100110000000000000
3101201221011122111002200
41220213020212000000
53320020340321140
6123333545513200
711054351546340
oct1504710460000
9351834574080
10112325713920
1143700a34432
12199297a2800
13a7912a61a4
145618026d20
152dc6398030
hex1a27226000

112325713920 has 1344 divisors, whose sum is σ = 490703616000. Its totient is φ = 23187161088.

The previous prime is 112325713883. The next prime is 112325713921. The reversal of 112325713920 is 29317523211.

It is a happy number.

112325713920 is a `hidden beast` number, since 1 + 1 + 2 + 32 + 571 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112325713921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1421844441 + ... + 1421844519.

Almost surely, 2112325713920 is an apocalyptic number.

112325713920 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 112325713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245351808000).

112325713920 is an abundant number, since it is smaller than the sum of its proper divisors (378377902080).

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

112325713920 is a wasteful number, since it uses less digits than its factorization.

112325713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 112325713920 in words is "one hundred twelve billion, three hundred twenty-five million, seven hundred thirteen thousand, nine hundred twenty".