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31112434319 is a prime number
BaseRepresentation
bin11100111110011100…
…100001001010001111
32222022021112102101012
4130332130201022033
51002204240344234
622143131235435
72150665220411
oct347634411217
988267472335
1031112434319
111221618143a
1260435a8b7b
132c1a9aa665
1417120a29b1
15c216190ce
hex73e72128f

31112434319 has 2 divisors, whose sum is σ = 31112434320. Its totient is φ = 31112434318.

The previous prime is 31112434277. The next prime is 31112434321. The reversal of 31112434319 is 91343421113.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 31112434319 - 232 = 26817467023 is a prime.

It is a super-2 number, since 2×311124343192 (a number of 22 digits) contains 22 as substring.

Together with 31112434321, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31112434019) 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, 15556217159 + 15556217160.

It is an arithmetic number, because the mean of its divisors is an integer number (15556217160).

Almost surely, 231112434319 is an apocalyptic number.

31112434319 is a deficient number, since it is larger than the sum of its proper divisors (1).

31112434319 is an equidigital number, since it uses as much as digits as its factorization.

31112434319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 32.

The spelling of 31112434319 in words is "thirty-one billion, one hundred twelve million, four hundred thirty-four thousand, three hundred nineteen".