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131198120 = 2353279953
BaseRepresentation
bin1111101000111…
…10110010101000
3100010212112222122
413310132302220
5232041314440
621004010412
73152110544
oct764366250
9303775878
10131198120
11680700a9
1237b30a08
1321247c31
14135d2a24
15b7b87b5
hex7d1eca8

131198120 has 16 divisors (see below), whose sum is σ = 295195860. Its totient is φ = 52479232.

The previous prime is 131198071. The next prime is 131198143. The reversal of 131198120 is 21891131.

It can be written as a sum of positive squares in 2 ways, for example, as 125843524 + 5354596 = 11218^2 + 2314^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131198120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1639937 + ... + 1640016.

Almost surely, 2131198120 is an apocalyptic number.

131198120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131198120 is an abundant number, since it is smaller than the sum of its proper divisors (163997740).

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

131198120 is a wasteful number, since it uses less digits than its factorization.

131198120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279964 (or 3279960 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The square root of 131198120 is about 11454.1747847673. The cubic root of 131198120 is about 508.1312100363.

The spelling of 131198120 in words is "one hundred thirty-one million, one hundred ninety-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3279953 6559906 13119812 16399765 26239624 32799530 65599060 131198120