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31312421417 is a prime number
BaseRepresentation
bin11101001010010111…
…011010001000101001
32222211012211211002202
4131022113122020221
51003111434441132
622215033505545
72155644122234
oct351227321051
988735754082
1031312421417
1112309055732
12609a5722b5
132c5025bb14
14173088041b
15c33e6e762
hex74a5da229

31312421417 has 2 divisors, whose sum is σ = 31312421418. Its totient is φ = 31312421416.

The previous prime is 31312421411. The next prime is 31312421423. The reversal of 31312421417 is 71412421313.

It is a balanced prime because it is at equal distance from previous prime (31312421411) and next prime (31312421423).

It can be written as a sum of positive squares in only one way, i.e., 23083028761 + 8229392656 = 151931^2 + 90716^2 .

It is a cyclic number.

It is not a de Polignac number, because 31312421417 - 26 = 31312421353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31312421417.

It is not a weakly prime, because it can be changed into another prime (31312421411) 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, 15656210708 + 15656210709.

It is an arithmetic number, because the mean of its divisors is an integer number (15656210709).

Almost surely, 231312421417 is an apocalyptic number.

It is an amenable number.

31312421417 is a deficient number, since it is larger than the sum of its proper divisors (1).

31312421417 is an equidigital number, since it uses as much as digits as its factorization.

31312421417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 29.

The spelling of 31312421417 in words is "thirty-one billion, three hundred twelve million, four hundred twenty-one thousand, four hundred seventeen".