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113112120120 = 23351949610579
BaseRepresentation
bin110100101011000000…
…0011111101100111000
3101210221222102001121020
41221112000133230320
53323123200320440
6123544001142440
711113011104646
oct1512600375470
9353858361536
10113112120120
1143a7493000a
1219b0902aa20
13a8881a97bc
145690654196
152e204373d0
hex1a5601fb38

113112120120 has 64 divisors (see below), whose sum is σ = 357196176000. Its totient is φ = 28575692928.

The previous prime is 113112120109. The next prime is 113112120127. The reversal of 113112120120 is 21021211311.

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 113112120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113112120127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24803010 + ... + 24807569.

It is an arithmetic number, because the mean of its divisors is an integer number (5581190250).

Almost surely, 2113112120120 is an apocalyptic number.

113112120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113112120120 is an abundant number, since it is smaller than the sum of its proper divisors (244084055880).

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

113112120120 is a wasteful number, since it uses less digits than its factorization.

113112120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49610612 (or 49610608 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 113112120120 its reverse (21021211311), we get a palindrome (134133331431).

The spelling of 113112120120 in words is "one hundred thirteen billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 49610579 99221158 148831737 198442316 248052895 297663474 396884632 496105790 595326948 744158685 942601001 992211580 1190653896 1488317370 1885202002 1984423160 2827803003 2976634740 3770404004 4713005005 5655606006 5953269480 7540808008 9426010010 11311212012 14139015015 18852020020 22622424024 28278030030 37704040040 56556060060 113112120120