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31693307441 is a prime number
BaseRepresentation
bin11101100001000100…
…010111111000110001
310000210202112211111112
4131201010113320301
51004401441314231
622320521323105
72201250445145
oct354104277061
9100722484445
1031693307441
1112494055a74
126186036495
132cb113a373
1417692ab225
15c5760992b
hex761117e31

31693307441 has 2 divisors, whose sum is σ = 31693307442. Its totient is φ = 31693307440.

The previous prime is 31693307363. The next prime is 31693307479. The reversal of 31693307441 is 14470339613.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29677297441 + 2016010000 = 172271^2 + 44900^2 .

It is a cyclic number.

It is not a de Polignac number, because 31693307441 - 210 = 31693306417 is a prime.

It is not a weakly prime, because it can be changed into another prime (31693304441) 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, 15846653720 + 15846653721.

It is an arithmetic number, because the mean of its divisors is an integer number (15846653721).

Almost surely, 231693307441 is an apocalyptic number.

It is an amenable number.

31693307441 is a deficient number, since it is larger than the sum of its proper divisors (1).

31693307441 is an equidigital number, since it uses as much as digits as its factorization.

31693307441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 41.

The spelling of 31693307441 in words is "thirty-one billion, six hundred ninety-three million, three hundred seven thousand, four hundred forty-one".