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131252900 = 225210312743
BaseRepresentation
bin1111101001011…
…00001010100100
3100010222100010112
413310230022210
5232100043100
621005112152
73152426342
oct764541244
9303870115
10131252900
11680a8279
1237b58658
1321266b4c
1413608992
15b7c9b35
hex7d2c2a4

131252900 has 36 divisors (see below), whose sum is σ = 287606592. Its totient is φ = 51987360.

The previous prime is 131252897. The next prime is 131252911. The reversal of 131252900 is 9252131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3929 + ... + 16671.

It is an arithmetic number, because the mean of its divisors is an integer number (7989072).

Almost surely, 2131252900 is an apocalyptic number.

131252900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131252900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143803296).

131252900 is an abundant number, since it is smaller than the sum of its proper divisors (156353692).

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

131252900 is a wasteful number, since it uses less digits than its factorization.

131252900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12860 (or 12853 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 131252900 is about 11456.5658030668. The cubic root of 131252900 is about 508.2019212998.

The spelling of 131252900 in words is "one hundred thirty-one million, two hundred fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 5150 10300 12743 25486 50972 63715 127430 254860 318575 637150 1274300 1312529 2625058 5250116 6562645 13125290 26250580 32813225 65626450 131252900