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31122122093 is a prime number
BaseRepresentation
bin11100111111000001…
…011110010101101101
32222022221202121111122
4130333001132111231
51002214230401333
622144115030325
72151143446556
oct347701362555
988287677448
1031122122093
1112220698a67
12604689b3a5
132c1c9c007a
1417134a532d
15c223ce798
hex73f05e56d

31122122093 has 2 divisors, whose sum is σ = 31122122094. Its totient is φ = 31122122092.

The previous prime is 31122122041. The next prime is 31122122107. The reversal of 31122122093 is 39022122113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29509055524 + 1613066569 = 171782^2 + 40163^2 .

It is a cyclic number.

It is not a de Polignac number, because 31122122093 - 226 = 31055013229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31122182093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15561061046 + 15561061047.

It is an arithmetic number, because the mean of its divisors is an integer number (15561061047).

Almost surely, 231122122093 is an apocalyptic number.

It is an amenable number.

31122122093 is a deficient number, since it is larger than the sum of its proper divisors (1).

31122122093 is an equidigital number, since it uses as much as digits as its factorization.

31122122093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 31122122093 in words is "thirty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, ninety-three".