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13172682331 is a prime number
BaseRepresentation
bin11000100010010011…
…10010111001011011
31021000000201121002101
430101021302321123
5203434201313311
610015040144231
7644300644444
oct142111627133
937000647071
1013172682331
11564a6aa226
122677608077
13131c0b2bb3
148cd67a2cb
155216b1ec1
hex311272e5b

13172682331 has 2 divisors, whose sum is σ = 13172682332. Its totient is φ = 13172682330.

The previous prime is 13172682329. The next prime is 13172682359. The reversal of 13172682331 is 13328627131.

13172682331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13172682331 - 21 = 13172682329 is a prime.

It is a super-2 number, since 2×131726823312 (a number of 21 digits) contains 22 as substring.

Together with 13172682329, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13172682631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6586341165 + 6586341166.

It is an arithmetic number, because the mean of its divisors is an integer number (6586341166).

Almost surely, 213172682331 is an apocalyptic number.

13172682331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13172682331 is an equidigital number, since it uses as much as digits as its factorization.

13172682331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 37.

The spelling of 13172682331 in words is "thirteen billion, one hundred seventy-two million, six hundred eighty-two thousand, three hundred thirty-one".