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31013222117 is a prime number
BaseRepresentation
bin11100111000100010…
…000011011011100101
32222001100211220211012
4130320202003123211
51002003341101432
622125224552005
72145352016123
oct347042033345
988040756735
1031013222117
1112175178889
126016322605
132c03281607
141702c38913
15c17a6ccb2
hex7388836e5

31013222117 has 2 divisors, whose sum is σ = 31013222118. Its totient is φ = 31013222116.

The previous prime is 31013222059. The next prime is 31013222153. The reversal of 31013222117 is 71122231013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30847301956 + 165920161 = 175634^2 + 12881^2 .

It is an emirp because it is prime and its reverse (71122231013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31013222117 - 214 = 31013205733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31013222092 and 31013222101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31013228117) 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, 15506611058 + 15506611059.

It is an arithmetic number, because the mean of its divisors is an integer number (15506611059).

Almost surely, 231013222117 is an apocalyptic number.

It is an amenable number.

31013222117 is a deficient number, since it is larger than the sum of its proper divisors (1).

31013222117 is an equidigital number, since it uses as much as digits as its factorization.

31013222117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

The spelling of 31013222117 in words is "thirty-one billion, thirteen million, two hundred twenty-two thousand, one hundred seventeen".