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131257089 = 3214584121
BaseRepresentation
bin1111101001011…
…01001100000001
3100010222112212200
413310231030001
5232100211324
621005143413
73152444505
oct764551401
9303875780
10131257089
1168100437
1237b5ab69
1321268a22
141360a305
15b7caec9
hex7d2d301

131257089 has 6 divisors (see below), whose sum is σ = 189593586. Its totient is φ = 87504720.

The previous prime is 131257079. The next prime is 131257099. The reversal of 131257089 is 980752131.

131257089 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 570 + 89 = 666.

It is an interprime number because it is at equal distance from previous prime (131257079) and next prime (131257099).

It can be written as a sum of positive squares in only one way, i.e., 104040000 + 27217089 = 10200^2 + 5217^2 .

It is not a de Polignac number, because 131257089 - 211 = 131255041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131257039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7292052 + ... + 7292069.

It is an arithmetic number, because the mean of its divisors is an integer number (31598931).

Almost surely, 2131257089 is an apocalyptic number.

It is an amenable number.

131257089 is a deficient number, since it is larger than the sum of its proper divisors (58336497).

131257089 is a wasteful number, since it uses less digits than its factorization.

131257089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14584127 (or 14584124 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 131257089 is about 11456.7486225368. The cubic root of 131257089 is about 508.2073277459.

The spelling of 131257089 in words is "one hundred thirty-one million, two hundred fifty-seven thousand, eighty-nine".

Divisors: 1 3 9 14584121 43752363 131257089