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31125523969 is a prime number
BaseRepresentation
bin11100111111001110…
…011100111000000001
32222100012011110000001
4130333032130320001
51002221113231334
622144320000001
72151214405561
oct347716347001
988305143001
1031125523969
1112222601931
126047a60001
132c20611607
141713b0cda1
15c22852714
hex73f39ce01

31125523969 has 2 divisors, whose sum is σ = 31125523970. Its totient is φ = 31125523968.

The previous prime is 31125523967. The next prime is 31125523997. The reversal of 31125523969 is 96932552113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30406640625 + 718883344 = 174375^2 + 26812^2 .

It is a cyclic number.

It is not a de Polignac number, because 31125523969 - 21 = 31125523967 is a prime.

It is a super-2 number, since 2×311255239692 (a number of 22 digits) contains 22 as substring.

Together with 31125523967, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31125523967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15562761984 + 15562761985.

It is an arithmetic number, because the mean of its divisors is an integer number (15562761985).

Almost surely, 231125523969 is an apocalyptic number.

It is an amenable number.

31125523969 is a deficient number, since it is larger than the sum of its proper divisors (1).

31125523969 is an equidigital number, since it uses as much as digits as its factorization.

31125523969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 437400, while the sum is 46.

The spelling of 31125523969 in words is "thirty-one billion, one hundred twenty-five million, five hundred twenty-three thousand, nine hundred sixty-nine".