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131130210 = 23519379607
BaseRepresentation
bin1111101000011…
…10001101100010
3100010202002211110
413310032031202
5232032131320
621002324150
73151405551
oct764161542
9303662743
10131130210
1168024082
1237ab9656
1321223053
14135b5d98
15b7a35e0
hex7d0e362

131130210 has 64 divisors (see below), whose sum is σ = 332697600. Its totient is φ = 32985792.

The previous prime is 131130203. The next prime is 131130211. The reversal of 131130210 is 12031131.

It is not an unprimeable number, because it can be changed into a prime (131130211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215727 + ... + 216333.

It is an arithmetic number, because the mean of its divisors is an integer number (5198400).

Almost surely, 2131130210 is an apocalyptic number.

131130210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131130210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166348800).

131130210 is an abundant number, since it is smaller than the sum of its proper divisors (201567390).

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

131130210 is a wasteful number, since it uses less digits than its factorization.

131130210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131130210 is about 11451.2099797358. The cubic root of 131130210 is about 508.0435229414.

Adding to 131130210 its reverse (12031131), we get a palindrome (143161341).

The spelling of 131130210 in words is "one hundred thirty-one million, one hundred thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 379 570 607 758 1137 1214 1821 1895 2274 3035 3642 3790 5685 6070 7201 9105 11370 11533 14402 18210 21603 23066 34599 36005 43206 57665 69198 72010 108015 115330 172995 216030 230053 345990 460106 690159 1150265 1380318 2300530 3450795 4371007 6901590 8742014 13113021 21855035 26226042 43710070 65565105 131130210