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200131130120 = 23513213787493
BaseRepresentation
bin1011101001100010111…
…1101011001100001000
3201010120111000210012112
42322120233223030020
511234332032130440
6231534452401452
720313302352365
oct2723057531410
9633514023175
10200131130120
11779698951a9
1232953616288
1315b4554216c
14998769746c
155314c27965
hex2e98beb308

200131130120 has 32 divisors (see below), whose sum is σ = 450636036120. Its totient is φ = 79991831040.

The previous prime is 200131130083. The next prime is 200131130189. The reversal of 200131130120 is 21031131002.

200131130120 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 197336739076 + 2794391044 = 444226^2 + 52862^2 .

It is a junction number, because it is equal to n+sod(n) for n = 200131130095 and 200131130104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1840907 + ... + 1946586.

Almost surely, 2200131130120 is an apocalyptic number.

200131130120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200131130120 is an abundant number, since it is smaller than the sum of its proper divisors (250504906000).

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

200131130120 is a wasteful number, since it uses less digits than its factorization.

200131130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788825 (or 3788821 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 200131130120 its reverse (21031131002), we get a palindrome (221162261122).

The spelling of 200131130120 in words is "two hundred billion, one hundred thirty-one million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1321 2642 5284 6605 10568 13210 26420 52840 3787493 7574986 15149972 18937465 30299944 37874930 75749860 151499720 5003278253 10006556506 20013113012 25016391265 40026226024 50032782530 100065565060 200131130120