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313301002009 is a prime number
BaseRepresentation
bin1001000111100100011…
…00011110011100011001
31002221200111002221100011
410203302030132130121
520113120024031014
6355532315441521
731430614402012
oct4436214363431
91087614087304
10313301002009
1111096327aa46
1250877a562a1
132370c68c4b8
1411241862009
15823a26b7c4
hex48f231e719

313301002009 has 2 divisors, whose sum is σ = 313301002010. Its totient is φ = 313301002008.

The previous prime is 313301001997. The next prime is 313301002043. The reversal of 313301002009 is 900200103313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 244008336784 + 69292665225 = 493972^2 + 263235^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313301002009 is a prime.

It is not a weakly prime, because it can be changed into another prime (313301002909) 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, 156650501004 + 156650501005.

It is an arithmetic number, because the mean of its divisors is an integer number (156650501005).

Almost surely, 2313301002009 is an apocalyptic number.

It is an amenable number.

313301002009 is a deficient number, since it is larger than the sum of its proper divisors (1).

313301002009 is an equidigital number, since it uses as much as digits as its factorization.

313301002009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The spelling of 313301002009 in words is "three hundred thirteen billion, three hundred one million, two thousand, nine".