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311310317 is a prime number
BaseRepresentation
bin10010100011100…
…011011111101101
3210200210012110202
4102203203133231
51114143412232
650520243245
710500044153
oct2243433755
9720705422
10311310317
1114a7aa05a
1288310525
134c65abb6
142d4b93d3
151c4e5162
hex128e37ed

311310317 has 2 divisors, whose sum is σ = 311310318. Its totient is φ = 311310316.

The previous prime is 311310299. The next prime is 311310343. The reversal of 311310317 is 713013113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 261339556 + 49970761 = 16166^2 + 7069^2 .

It is a cyclic number.

It is not a de Polignac number, because 311310317 - 28 = 311310061 is a prime.

It is a super-2 number, since 2×3113103172 = 193828226941280978, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311310397) 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, 155655158 + 155655159.

It is an arithmetic number, because the mean of its divisors is an integer number (155655159).

Almost surely, 2311310317 is an apocalyptic number.

It is an amenable number.

311310317 is a deficient number, since it is larger than the sum of its proper divisors (1).

311310317 is an equidigital number, since it uses as much as digits as its factorization.

311310317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 311310317 is about 17643.9881262712. The cubic root of 311310317 is about 677.7421633102.

The spelling of 311310317 in words is "three hundred eleven million, three hundred ten thousand, three hundred seventeen".