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131352377 = 1321922153
BaseRepresentation
bin1111101010001…
…00011100111001
3100011011101120212
413311010130321
5232111234002
621011200505
73153322352
oct765043471
9304141525
10131352377
1168165a92
1237ba6135
13212a0200
1413632d29
15b7e9352
hex7d44739

131352377 has 18 divisors (see below), whose sum is σ = 150183342. Its totient is φ = 114813504.

The previous prime is 131352371. The next prime is 131352407. The reversal of 131352377 is 773253131.

It can be written as a sum of positive squares in 3 ways, for example, as 8231161 + 123121216 = 2869^2 + 11096^2 .

It is not a de Polignac number, because 131352377 - 26 = 131352313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131352371) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 59933 + ... + 62085.

It is an arithmetic number, because the mean of its divisors is an integer number (8343519).

Almost surely, 2131352377 is an apocalyptic number.

It is an amenable number.

131352377 is a deficient number, since it is larger than the sum of its proper divisors (18830965).

131352377 is a wasteful number, since it uses less digits than its factorization.

131352377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2185 counting only the distinct ones).

The product of its digits is 13230, while the sum is 32.

The square root of 131352377 is about 11460.9064650227. The cubic root of 131352377 is about 508.3302781745.

The spelling of 131352377 in words is "one hundred thirty-one million, three hundred fifty-two thousand, three hundred seventy-seven".

Divisors: 1 13 19 169 247 361 2153 3211 4693 27989 40907 61009 363857 531791 777233 6913283 10104029 131352377