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131066361 = 3214562929
BaseRepresentation
bin1111100111111…
…10100111111001
3100010121212020200
413303332213321
5232023110421
621001112413
73151021446
oct763764771
9303555220
10131066361
1167a90108
1237a88709
13211ccc7a
141359a9cd
15b78e726
hex7cfe9f9

131066361 has 6 divisors (see below), whose sum is σ = 189318090. Its totient is φ = 87377568.

The previous prime is 131066359. The next prime is 131066363. The reversal of 131066361 is 163660131.

It is a happy number.

131066361 is a `hidden beast` number, since 13 + 10 + 6 + 636 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (131066359) and next prime (131066363).

It can be written as a sum of positive squares in only one way, i.e., 125014761 + 6051600 = 11181^2 + 2460^2 .

It is not a de Polignac number, because 131066361 - 21 = 131066359 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131066363) 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, 7281456 + ... + 7281473.

It is an arithmetic number, because the mean of its divisors is an integer number (31553015).

Almost surely, 2131066361 is an apocalyptic number.

It is an amenable number.

131066361 is a deficient number, since it is larger than the sum of its proper divisors (58251729).

131066361 is a wasteful number, since it uses less digits than its factorization.

131066361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14562935 (or 14562932 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 131066361 is about 11448.4217689601. The cubic root of 131066361 is about 507.9610518944.

The spelling of 131066361 in words is "one hundred thirty-one million, sixty-six thousand, three hundred sixty-one".

Divisors: 1 3 9 14562929 43688787 131066361