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131132300 = 225213195309
BaseRepresentation
bin1111101000011…
…10101110001100
3100010202012200212
413310032232030
5232032213200
621002341552
73151414625
oct764165614
9303665625
10131132300
1168025702
1237aba8b8
1321223ca0
14135b6a4c
15b7a4035
hex7d0eb8c

131132300 has 72 divisors (see below), whose sum is σ = 322635600. Its totient is φ = 45861120.

The previous prime is 131132299. The next prime is 131132311. The reversal of 131132300 is 3231131.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22046 + ... + 27354.

It is an arithmetic number, because the mean of its divisors is an integer number (4481050).

Almost surely, 2131132300 is an apocalyptic number.

131132300 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 131132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161317800).

131132300 is an abundant number, since it is smaller than the sum of its proper divisors (191503300).

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

131132300 is a wasteful number, since it uses less digits than its factorization.

131132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 131132300 is about 11451.3012361041. The cubic root of 131132300 is about 508.0462220533.

Adding to 131132300 its reverse (3231131), we get a palindrome (134363431).

The spelling of 131132300 in words is "one hundred thirty-one million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4940 5309 6175 10618 12350 21236 24700 26545 53090 69017 100871 106180 132725 138034 201742 265450 276068 345085 403484 504355 530900 690170 1008710 1311323 1380340 1725425 2017420 2521775 2622646 3450850 5043550 5245292 6556615 6901700 10087100 13113230 26226460 32783075 65566150 131132300