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112355563320 = 23345741113101
BaseRepresentation
bin110100010100011101…
…0011101011100111000
3101202000020210222210000
41220220322131130320
53320101011011240
6123340533353000
711055163350000
oct1505072353470
9352006728700
10112355563320
1143716871760
1219937798760
13a797527760
14561bd97000
152dc8ce2430
hex1a28e9d738

112355563320 has 1600 divisors, whose sum is σ = 522697523040. Its totient is φ = 21337344000.

The previous prime is 112355563297. The next prime is 112355563321. The reversal of 112355563320 is 23365553211.

112355563320 is a `hidden beast` number, since 1 + 1 + 23 + 55 + 563 + 3 + 20 = 666.

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 (112355563321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 1112431270 + ... + 1112431370.

Almost surely, 2112355563320 is an apocalyptic number.

112355563320 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 112355563320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261348761520).

112355563320 is an abundant number, since it is smaller than the sum of its proper divisors (410341959720).

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

112355563320 is a wasteful number, since it uses less digits than its factorization.

112355563320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 112355563320 in words is "one hundred twelve billion, three hundred fifty-five million, five hundred sixty-three thousand, three hundred twenty".