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131037852 = 223111576323
BaseRepresentation
bin1111100111101…
…11101010011100
3100010120102010210
413303313222130
5232021202402
621000332420
73150542361
oct763675234
9303512123
10131037852
1167a70750
1237a74110
13211bccba
1413590468
15b78606c
hex7cf7a9c

131037852 has 48 divisors (see below), whose sum is σ = 335728512. Its totient is φ = 39449280.

The previous prime is 131037779. The next prime is 131037911. The reversal of 131037852 is 258730131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17563 + ... + 23885.

It is an arithmetic number, because the mean of its divisors is an integer number (6994344).

Almost surely, 2131037852 is an apocalyptic number.

131037852 is a gapful number since it is divisible by the number (12) 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 131037852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167864256).

131037852 is an abundant number, since it is smaller than the sum of its proper divisors (204690660).

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

131037852 is a wasteful number, since it uses less digits than its factorization.

131037852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6498 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 131037852 is about 11447.1765951260. The cubic root of 131037852 is about 507.9242193778.

Adding to 131037852 its reverse (258730131), we get a palindrome (389767983).

The spelling of 131037852 in words is "one hundred thirty-one million, thirty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 314 471 628 942 1727 1884 3454 5181 6323 6908 10362 12646 18969 20724 25292 37938 69553 75876 139106 208659 278212 417318 834636 992711 1985422 2978133 3970844 5956266 10919821 11912532 21839642 32759463 43679284 65518926 131037852