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31112321117 is a prime number
BaseRepresentation
bin11100111110011100…
…000101100001011101
32222022021022200002112
4130332130011201131
51002204223233432
622143125003405
72150664236363
oct347634054135
988267280075
1031112321117
1112216104389
126043553565
132c1a96ac87
141712073633
15c215e57b2
hex73e70585d

31112321117 has 2 divisors, whose sum is σ = 31112321118. Its totient is φ = 31112321116.

The previous prime is 31112321101. The next prime is 31112321257. The reversal of 31112321117 is 71112321113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19709071321 + 11403249796 = 140389^2 + 106786^2 .

It is a cyclic number.

It is not a de Polignac number, because 31112321117 - 24 = 31112321101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31112321092 and 31112321101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31112321717) 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, 15556160558 + 15556160559.

It is an arithmetic number, because the mean of its divisors is an integer number (15556160559).

Almost surely, 231112321117 is an apocalyptic number.

It is an amenable number.

31112321117 is a deficient number, since it is larger than the sum of its proper divisors (1).

31112321117 is an equidigital number, since it uses as much as digits as its factorization.

31112321117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252, while the sum is 23.

The spelling of 31112321117 in words is "thirty-one billion, one hundred twelve million, three hundred twenty-one thousand, one hundred seventeen".