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131062020 = 22352975323
BaseRepresentation
bin1111100111111…
…01100100000100
3100010121122021220
413303331210010
5232022441040
621001040340
73151003005
oct763754404
9303548256
10131062020
1167a87921
1237a860b0
13211cacbb
14135991ac
15b78d2d0
hex7cfd904

131062020 has 48 divisors (see below), whose sum is σ = 379632960. Its totient is φ = 33744256.

The previous prime is 131062013. The next prime is 131062021. The reversal of 131062020 is 20260131.

131062020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (131062021) 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, 35922 + ... + 39401.

It is an arithmetic number, because the mean of its divisors is an integer number (7909020).

Almost surely, 2131062020 is an apocalyptic number.

131062020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131062020 is an abundant number, since it is smaller than the sum of its proper divisors (248570940).

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

131062020 is a wasteful number, since it uses less digits than its factorization.

131062020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75364 (or 75362 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131062020 is about 11448.2321779391. The cubic root of 131062020 is about 507.9554438364.

The spelling of 131062020 in words is "one hundred thirty-one million, sixty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 75323 150646 225969 301292 376615 451938 753230 903876 1129845 1506460 2184367 2259690 4368734 4519380 6553101 8737468 10921835 13106202 21843670 26212404 32765505 43687340 65531010 131062020