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31123211149 is a prime number
BaseRepresentation
bin11100111111000101…
…101000001110001101
32222100000210221102001
4130333011220032031
51002220020224044
622144154232301
72151155633632
oct347705501615
988300727361
1031123211149
1112221272208
126047125691
132c1ccb1994
1417136aa189
15c225472d4
hex73f16838d

31123211149 has 2 divisors, whose sum is σ = 31123211150. Its totient is φ = 31123211148.

The previous prime is 31123211083. The next prime is 31123211167. The reversal of 31123211149 is 94111232113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30237732100 + 885479049 = 173890^2 + 29757^2 .

It is an emirp because it is prime and its reverse (94111232113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31123211149 - 221 = 31121113997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31123217149) 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, 15561605574 + 15561605575.

It is an arithmetic number, because the mean of its divisors is an integer number (15561605575).

Almost surely, 231123211149 is an apocalyptic number.

It is an amenable number.

31123211149 is a deficient number, since it is larger than the sum of its proper divisors (1).

31123211149 is an equidigital number, since it uses as much as digits as its factorization.

31123211149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 28.

The spelling of 31123211149 in words is "thirty-one billion, one hundred twenty-three million, two hundred eleven thousand, one hundred forty-nine".