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113889077120 = 27572132571087
BaseRepresentation
bin110101000010001010…
…0010110011110000000
3101212222010101120020102
41222010110112132000
53331221100431440
6124153034101532
711141164116500
oct1520424263600
9355863346212
10113889077120
1144333462335
121a0a527a8a8
13a980152180
145725901a00
152e6875bb15
hex1a84516780

113889077120 has 384 divisors, whose sum is σ = 342722741760. Its totient is φ = 35870736384.

The previous prime is 113889077101. The next prime is 113889077123. The reversal of 113889077120 is 21770988311.

113889077120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113889077123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104773217 + ... + 104774303.

It is an arithmetic number, because the mean of its divisors is an integer number (892507140).

Almost surely, 2113889077120 is an apocalyptic number.

113889077120 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 113889077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171361370880).

113889077120 is an abundant number, since it is smaller than the sum of its proper divisors (228833664640).

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

113889077120 is a wasteful number, since it uses less digits than its factorization.

113889077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 47.

The spelling of 113889077120 in words is "one hundred thirteen billion, eight hundred eighty-nine million, seventy-seven thousand, one hundred twenty".