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131352217 = 17101113677
BaseRepresentation
bin1111101010001…
…00011010011001
3100011011101100221
413311010122121
5232111232332
621011200041
73153322033
oct765043231
9304141327
10131352217
1168165957
1237ba6021
13212a0109
1413632c53
15b7e9297
hex7d44699

131352217 has 16 divisors (see below), whose sum is σ = 141908112. Its totient is φ = 121139200.

The previous prime is 131352203. The next prime is 131352283. The reversal of 131352217 is 712253131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 26822041 + 104530176 = 5179^2 + 10224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131352217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131352191 and 131352200.

It is not an unprimeable number, because it can be changed into a prime (131352017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193683 + ... + 194359.

It is an arithmetic number, because the mean of its divisors is an integer number (8869257).

Almost surely, 2131352217 is an apocalyptic number.

131352217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

131352217 is a deficient number, since it is larger than the sum of its proper divisors (10555895).

131352217 is a wasteful number, since it uses less digits than its factorization.

131352217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908.

The product of its digits is 1260, while the sum is 25.

The square root of 131352217 is about 11460.8994847699. The cubic root of 131352217 is about 508.3300717758.

The spelling of 131352217 in words is "one hundred thirty-one million, three hundred fifty-two thousand, two hundred seventeen".

Divisors: 1 17 101 113 677 1717 1921 11413 11509 68377 76501 194021 1162409 1300517 7726601 131352217