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113430120 = 23351755603
BaseRepresentation
bin1101100001011…
…00111001101000
321220102211212120
412300230321220
5213014230440
615131111240
72545066026
oct660547150
9256384776
10113430120
1159034801
1231ba2520
131a66671b
14110c9716
159e58dd0
hex6c2ce68

113430120 has 64 divisors (see below), whose sum is σ = 360313920. Its totient is φ = 28468224.

The previous prime is 113430113. The next prime is 113430139. The reversal of 113430120 is 21034311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113430120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25762 + ... + 29841.

It is an arithmetic number, because the mean of its divisors is an integer number (5629905).

Almost surely, 2113430120 is an apocalyptic number.

113430120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113430120 is an abundant number, since it is smaller than the sum of its proper divisors (246883800).

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

113430120 is a wasteful number, since it uses less digits than its factorization.

113430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55634 (or 55630 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113430120 is about 10650.3577404705. The cubic root of 113430120 is about 484.0714440445.

Adding to 113430120 its reverse (21034311), we get a palindrome (134464431).

The spelling of 113430120 in words is "one hundred thirteen million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 55603 111206 166809 222412 278015 333618 444824 556030 667236 834045 945251 1112060 1334472 1668090 1890502 2224120 2835753 3336180 3781004 4726255 5671506 6672360 7562008 9452510 11343012 14178765 18905020 22686024 28357530 37810040 56715060 113430120