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31004412037 is a prime number
BaseRepresentation
bin11100111000000000…
…011100100010000101
32222000202021022122221
4130320000130202011
51001444112141122
622124312052341
72145214103554
oct347000344205
988022238587
1031004412037
1112170200725
1260133940b1
132c014b8551
1417019c3d9b
15c16dcc6c7
hex73801c885

31004412037 has 2 divisors, whose sum is σ = 31004412038. Its totient is φ = 31004412036.

The previous prime is 31004412007. The next prime is 31004412041. The reversal of 31004412037 is 73021440013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22836952161 + 8167459876 = 151119^2 + 90374^2 .

It is a cyclic number.

It is not a de Polignac number, because 31004412037 - 227 = 30870194309 is a prime.

It is a super-2 number, since 2×310044120372 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31004412007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15502206018 + 15502206019.

It is an arithmetic number, because the mean of its divisors is an integer number (15502206019).

Almost surely, 231004412037 is an apocalyptic number.

It is an amenable number.

31004412037 is a deficient number, since it is larger than the sum of its proper divisors (1).

31004412037 is an equidigital number, since it uses as much as digits as its factorization.

31004412037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 25.

The spelling of 31004412037 in words is "thirty-one billion, four million, four hundred twelve thousand, thirty-seven".