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131365700 = 22521313657
BaseRepresentation
bin1111101010001…
…11101101000100
3100011012001212022
413311013231010
5232112200300
621011342312
73153406244
oct765075504
9304161768
10131365700
1168174aa4
1237bb1998
13212a62ab
1413637b24
15b7ed285
hex7d47b44

131365700 has 18 divisors (see below), whose sum is σ = 285063786. Its totient is φ = 52546240.

The previous prime is 131365697. The next prime is 131365709. The reversal of 131365700 is 7563131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1223236 + 130142464 = 1106^2 + 11408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131365700.

It is not an unprimeable number, because it can be changed into a prime (131365709) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 656729 + ... + 656928.

It is an arithmetic number, because the mean of its divisors is an integer number (15836877).

Almost surely, 2131365700 is an apocalyptic number.

131365700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131365700 is an abundant number, since it is smaller than the sum of its proper divisors (153698086).

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

131365700 is a wasteful number, since it uses less digits than its factorization.

131365700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313671 (or 1313664 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 131365700 is about 11461.4876870326. The cubic root of 131365700 is about 508.3474641478.

The spelling of 131365700 in words is "one hundred thirty-one million, three hundred sixty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1313657 2627314 5254628 6568285 13136570 26273140 32841425 65682850 131365700