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113022928512 = 27321312376101
BaseRepresentation
bin110100101000010110…
…0010000011010000000
3101210201202120122201100
41221100230100122000
53322432332203022
6123531053334400
711110546020054
oct1512054203200
9353652518640
10113022928512
1143a2955103a
1219aa3197400
13a87287b7c0
145682877c64
152e176ba1ac
hex1a50b10680

113022928512 has 192 divisors, whose sum is σ = 350593949160. Its totient is φ = 34742476800.

The previous prime is 113022928511. The next prime is 113022928517. The reversal of 113022928512 is 215829220311.

113022928512 is a `hidden beast` number, since 1 + 1 + 30 + 22 + 92 + 8 + 512 = 666.

113022928512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 96910180416 + 16112748096 = 311304^2 + 126936^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (113022928511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18522262 + ... + 18528362.

Almost surely, 2113022928512 is an apocalyptic number.

113022928512 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 113022928512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175296974580).

113022928512 is an abundant number, since it is smaller than the sum of its proper divisors (237571020648).

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

113022928512 is a wasteful number, since it uses less digits than its factorization.

113022928512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7371 (or 7356 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 113022928512 in words is "one hundred thirteen billion, twenty-two million, nine hundred twenty-eight thousand, five hundred twelve".