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13612042120 = 2351720017709
BaseRepresentation
bin11001010110101011…
…10100011110001000
31022010122110101102011
430223111310132020
5210334140321440
610130413145304
7661214306665
oct145325643610
938118411364
1013612042120
115855708796
12277a78b234
13138c1257c1
14931b68a6c
1554a04c9ea
hex32b574788

13612042120 has 32 divisors (see below), whose sum is σ = 32428690200. Its totient is φ = 5124533248.

The previous prime is 13612042049. The next prime is 13612042139. The reversal of 13612042120 is 2124021631.

13612042120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7989141924 + 5622900196 = 89382^2 + 74986^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13612042091 and 13612042100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10008175 + ... + 10009534.

Almost surely, 213612042120 is an apocalyptic number.

13612042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13612042120 is an abundant number, since it is smaller than the sum of its proper divisors (18816648080).

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

13612042120 is a wasteful number, since it uses less digits than its factorization.

13612042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20017737 (or 20017733 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13612042120 its reverse (2124021631), we get a palindrome (15736063751).

The spelling of 13612042120 in words is "thirteen billion, six hundred twelve million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 20017709 40035418 80070836 100088545 160141672 200177090 340301053 400354180 680602106 800708360 1361204212 1701505265 2722408424 3403010530 6806021060 13612042120