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31122111109 is a prime number
BaseRepresentation
bin11100111111000001…
…011011101010000101
32222022221202001102211
4130333001123222011
51002214230023414
622144114503421
72151143402545
oct347701335205
988287661384
1031122111109
1112220690791
126046894b71
132c1c9b807b
1417134a1325
15c223cb3c4
hex73f05ba85

31122111109 has 2 divisors, whose sum is σ = 31122111110. Its totient is φ = 31122111108.

The previous prime is 31122111043. The next prime is 31122111133. The reversal of 31122111109 is 90111122113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22875655009 + 8246456100 = 151247^2 + 90810^2 .

It is a cyclic number.

It is not a de Polignac number, because 31122111109 - 221 = 31120013957 is a prime.

It is a super-3 number, since 3×311221111093 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31122111109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31122114109) 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, 15561055554 + 15561055555.

It is an arithmetic number, because the mean of its divisors is an integer number (15561055555).

Almost surely, 231122111109 is an apocalyptic number.

It is an amenable number.

31122111109 is a deficient number, since it is larger than the sum of its proper divisors (1).

31122111109 is an equidigital number, since it uses as much as digits as its factorization.

31122111109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 31122111109 in words is "thirty-one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred nine".