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13122131969 is a prime number
BaseRepresentation
bin11000011100010001…
…11101100000000001
31020212111121101000202
430032020331200001
5203333231210334
610010032454545
7643115165342
oct141610754001
936774541022
1013122131969
115624112a71
1226626aa455
13131179413b
148c6a7c0c9
1551c02917e
hex30e23d801

13122131969 has 2 divisors, whose sum is σ = 13122131970. Its totient is φ = 13122131968.

The previous prime is 13122131963. The next prime is 13122131983. The reversal of 13122131969 is 96913122131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11494412944 + 1627719025 = 107212^2 + 40345^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13122131969 is a prime.

It is a super-2 number, since 2×131221319692 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13122131963) 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 as a sum of consecutive naturals, namely, 6561065984 + 6561065985.

It is an arithmetic number, because the mean of its divisors is an integer number (6561065985).

Almost surely, 213122131969 is an apocalyptic number.

It is an amenable number.

13122131969 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122131969 is an equidigital number, since it uses as much as digits as its factorization.

13122131969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 38.

The spelling of 13122131969 in words is "thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, nine hundred sixty-nine".