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113271343920 = 243357219233179
BaseRepresentation
bin110100101111101111…
…1111000101100110000
3101211101002000110121000
41221133133320230300
53323434431001140
6124011450002000
711116653352200
oct1513737705460
9354332013530
10113271343920
11440467a2229
1219b52416300
13a8b2187b77
1456a7860400
152e2e3d9a30
hex1a5f7f8b30

113271343920 has 1920 divisors, whose sum is σ = 521109504000. Its totient is φ = 22417274880.

The previous prime is 113271343909. The next prime is 113271343973. The reversal of 113271343920 is 29343172311.

113271343920 is a `hidden beast` number, since 1 + 132 + 7 + 134 + 392 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1433814441 + ... + 1433814519.

It is an arithmetic number, because the mean of its divisors is an integer number (271411200).

Almost surely, 2113271343920 is an apocalyptic number.

113271343920 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 113271343920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260554752000).

113271343920 is an abundant number, since it is smaller than the sum of its proper divisors (407838160080).

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

113271343920 is a wasteful number, since it uses less digits than its factorization.

113271343920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 113271343920 in words is "one hundred thirteen billion, two hundred seventy-one million, three hundred forty-three thousand, nine hundred twenty".