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313814819 is a prime number
BaseRepresentation
bin10010101101000…
…110111100100011
3210212111110000002
4102231012330203
51120314033234
651050050215
710530245003
oct2255067443
9725443002
10313814819
1115115a79a
128911996b
1350026b56
142d96c003
151c83c27e
hex12b46f23

313814819 has 2 divisors, whose sum is σ = 313814820. Its totient is φ = 313814818.

The previous prime is 313814741. The next prime is 313814827. The reversal of 313814819 is 918418313.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313814819 is a prime.

It is a super-2 number, since 2×3138148192 = 196959481248005522, which contains 22 as substring.

It is a Chen prime.

It is equal to p16959512 and since 313814819 and 16959512 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (313814869) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156907409 + 156907410.

It is an arithmetic number, because the mean of its divisors is an integer number (156907410).

Almost surely, 2313814819 is an apocalyptic number.

313814819 is a deficient number, since it is larger than the sum of its proper divisors (1).

313814819 is an equidigital number, since it uses as much as digits as its factorization.

313814819 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 38.

The square root of 313814819 is about 17714.8191918518. The cubic root of 313814819 is about 679.5547972528.

The spelling of 313814819 in words is "three hundred thirteen million, eight hundred fourteen thousand, eight hundred nineteen".