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31344300017 is a prime number
BaseRepresentation
bin11101001100010001…
…000000111111110001
32222220102211102022122
4131030101000333301
51003143120100032
622222133044025
72156512103612
oct351421007761
988812742278
1031344300017
1112325049588
1260a9186615
132c56a40bb4
141734bbbc09
15c36b6a012
hex74c440ff1

31344300017 has 2 divisors, whose sum is σ = 31344300018. Its totient is φ = 31344300016.

The previous prime is 31344299993. The next prime is 31344300023. The reversal of 31344300017 is 71000344313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25220298481 + 6124001536 = 158809^2 + 78256^2 .

It is a cyclic number.

It is not a de Polignac number, because 31344300017 - 232 = 27049332721 is a prime.

It is not a weakly prime, because it can be changed into another prime (31344305017) 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, 15672150008 + 15672150009.

It is an arithmetic number, because the mean of its divisors is an integer number (15672150009).

Almost surely, 231344300017 is an apocalyptic number.

It is an amenable number.

31344300017 is a deficient number, since it is larger than the sum of its proper divisors (1).

31344300017 is an equidigital number, since it uses as much as digits as its factorization.

31344300017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

The spelling of 31344300017 in words is "thirty-one billion, three hundred forty-four million, three hundred thousand, seventeen".