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31225252013 is a prime number
BaseRepresentation
bin11101000101001010…
…111000100010101101
32222121010211011011022
4131011022320202231
51002422131031023
622202241303525
72153535156104
oct350512704255
988533734138
1031225252013
1112273927aaa
126075334ba5
132c3818b3a7
14172306d03b
15c2b4a17c8
hex7452b88ad

31225252013 has 2 divisors, whose sum is σ = 31225252014. Its totient is φ = 31225252012.

The previous prime is 31225251977. The next prime is 31225252031. The reversal of 31225252013 is 31025252213.

It is a happy number.

Together with next prime (31225252031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25040530564 + 6184721449 = 158242^2 + 78643^2 .

It is an emirp because it is prime and its reverse (31025252213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31225252013 - 212 = 31225247917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31225252043) 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, 15612626006 + 15612626007.

It is an arithmetic number, because the mean of its divisors is an integer number (15612626007).

Almost surely, 231225252013 is an apocalyptic number.

It is an amenable number.

31225252013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31225252013 is an equidigital number, since it uses as much as digits as its factorization.

31225252013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 31225252013 in words is "thirty-one billion, two hundred twenty-five million, two hundred fifty-two thousand, thirteen".