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313413431 is a prime number
BaseRepresentation
bin10010101011100…
…100111100110111
3210211202001101212
4102223210330313
51120213212211
651033312035
710523653532
oct2253447467
9724661355
10313413431
11150a06171
1288b6561b
134cc16246
142d8a5a19
151c7ad38b
hex12ae4f37

313413431 has 2 divisors, whose sum is σ = 313413432. Its totient is φ = 313413430.

The previous prime is 313413371. The next prime is 313413449. The reversal of 313413431 is 134314313.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 313413431 - 218 = 313151287 is a prime.

It is a super-2 number, since 2×3134134312 = 196455957462383522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313413397 and 313413406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313413481) 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, 156706715 + 156706716.

It is an arithmetic number, because the mean of its divisors is an integer number (156706716).

Almost surely, 2313413431 is an apocalyptic number.

313413431 is a deficient number, since it is larger than the sum of its proper divisors (1).

313413431 is an equidigital number, since it uses as much as digits as its factorization.

313413431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 23.

The square root of 313413431 is about 17703.4864080497. The cubic root of 313413431 is about 679.2649431717.

Adding to 313413431 its reverse (134314313), we get a palindrome (447727744).

The spelling of 313413431 in words is "three hundred thirteen million, four hundred thirteen thousand, four hundred thirty-one".