Search a number
-
+
113630237160 = 23351129109113241
BaseRepresentation
bin110100111010011100…
…0111101000111101000
3101212022002100010120020
41221310320331013220
53330203320042120
6124111230200440
711131602036156
oct1516470750750
9355262303506
10113630237160
1144210341010
121a032653120
13a93b635c2b
1456dd3a43d6
152e50b7d640
hex1a74e3d1e8

113630237160 has 512 divisors, whose sum is σ = 393294528000. Its totient is φ = 26011238400.

The previous prime is 113630237129. The next prime is 113630237263. The reversal of 113630237160 is 61732036311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 471494640 + ... + 471494880.

It is an arithmetic number, because the mean of its divisors is an integer number (768153375).

Almost surely, 2113630237160 is an apocalyptic number.

113630237160 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 113630237160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196647264000).

113630237160 is an abundant number, since it is smaller than the sum of its proper divisors (279664290840).

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

113630237160 is a wasteful number, since it uses less digits than its factorization.

113630237160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 113630237160 in words is "one hundred thirteen billion, six hundred thirty million, two hundred thirty-seven thousand, one hundred sixty".