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113130120 = 23354012351
BaseRepresentation
bin1101011111000…
…11101010001000
321212212121100110
412233203222020
5212430130440
615120434320
72542406265
oct657435210
9255777313
10113130120
115894a374
1231a789a0
131a58cccc
141104c26c
159dea080
hex6be3a88

113130120 has 64 divisors (see below), whose sum is σ = 340381440. Its totient is φ = 30080000.

The previous prime is 113130113. The next prime is 113130151. The reversal of 113130120 is 21031311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 113130096 and 113130105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46945 + ... + 49295.

It is an arithmetic number, because the mean of its divisors is an integer number (5318460).

Almost surely, 2113130120 is an apocalyptic number.

113130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113130120 is an abundant number, since it is smaller than the sum of its proper divisors (227251320).

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

113130120 is a wasteful number, since it uses less digits than its factorization.

113130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113130120 is about 10636.2643818213. The cubic root of 113130120 is about 483.6443098498.

Adding to 113130120 its reverse (21031311), we get a palindrome (134161431).

The spelling of 113130120 in words is "one hundred thirteen million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 401 802 1203 1604 2005 2351 2406 3208 4010 4702 4812 6015 7053 8020 9404 9624 11755 12030 14106 16040 18808 23510 24060 28212 35265 47020 48120 56424 70530 94040 141060 282120 942751 1885502 2828253 3771004 4713755 5656506 7542008 9427510 11313012 14141265 18855020 22626024 28282530 37710040 56565060 113130120