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131052144 = 2438930677
BaseRepresentation
bin1111100111110…
…11001001110000
3100010121010202010
413303323021300
5232022132034
621000522520
73150632136
oct763731160
9303533663
10131052144
1167a80463
1237a80440
13211c6662
1413595756
15b78a3e9
hex7cfb270

131052144 has 40 divisors (see below), whose sum is σ = 342366480. Its totient is φ = 43191808.

The previous prime is 131052127. The next prime is 131052151. The reversal of 131052144 is 441250131.

It is a self number, because there is not a number n which added to its sum of digits gives 131052144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11067 + ... + 19610.

It is an arithmetic number, because the mean of its divisors is an integer number (8559162).

Almost surely, 2131052144 is an apocalyptic number.

It is an amenable number.

131052144 is an abundant number, since it is smaller than the sum of its proper divisors (211314336).

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

131052144 is a wasteful number, since it uses less digits than its factorization.

131052144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30777 (or 30771 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 131052144 is about 11447.8008368420. The cubic root of 131052144 is about 507.9426847523.

The spelling of 131052144 in words is "one hundred thirty-one million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 4272 30677 61354 92031 122708 184062 245416 368124 490832 736248 1472496 2730253 5460506 8190759 10921012 16381518 21842024 32763036 43684048 65526072 131052144