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20131202120 = 2351729604709
BaseRepresentation
bin10010101111111010…
…011100010001001000
31220221222102000201112
4102233322130101020
5312212041431440
613125333305452
71311604252241
oct225772342110
956858360645
1020131202120
1185a05a2127
123a99a95288
131b8a924623
14d8d8b9cc8
157cc535965
hex4afe9c448

20131202120 has 32 divisors (see below), whose sum is σ = 47959630200. Its totient is φ = 7578805248.

The previous prime is 20131202083. The next prime is 20131202123. The reversal of 20131202120 is 2120213102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14051257444 + 6079944676 = 118538^2 + 77974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20131202095 and 20131202104.

It is not an unprimeable number, because it can be changed into a prime (20131202123) by changing a digit.

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, 14801675 + ... + 14803034.

Almost surely, 220131202120 is an apocalyptic number.

20131202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131202120 is an abundant number, since it is smaller than the sum of its proper divisors (27828428080).

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

20131202120 is a wasteful number, since it uses less digits than its factorization.

20131202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29604737 (or 29604733 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20131202120 its reverse (2120213102), we get a palindrome (22251415222).

The spelling of 20131202120 in words is "twenty billion, one hundred thirty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 29604709 59209418 118418836 148023545 236837672 296047090 503280053 592094180 1006560106 1184188360 2013120212 2516400265 4026240424 5032800530 10065601060 20131202120