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313409933 is a prime number
BaseRepresentation
bin10010101011100…
…100000110001101
3210211201212121022
4102223210012031
51120213104213
651033243525
710523640404
oct2253440615
9724655538
10313409933
11150a03581
1288b635a5
134cc14785
142d8a463b
151c7ac308
hex12ae418d

313409933 has 2 divisors, whose sum is σ = 313409934. Its totient is φ = 313409932.

The previous prime is 313409927. The next prime is 313410001. The reversal of 313409933 is 339904313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 273505444 + 39904489 = 16538^2 + 6317^2 .

It is a cyclic number.

It is not a de Polignac number, because 313409933 - 24 = 313409917 is a prime.

It is a super-2 number, since 2×3134099332 = 196451572206128978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313409893 and 313409902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313409923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156704966 + 156704967.

It is an arithmetic number, because the mean of its divisors is an integer number (156704967).

Almost surely, 2313409933 is an apocalyptic number.

It is an amenable number.

313409933 is a deficient number, since it is larger than the sum of its proper divisors (1).

313409933 is an equidigital number, since it uses as much as digits as its factorization.

313409933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 35.

The square root of 313409933 is about 17703.3876136744. The cubic root of 313409933 is about 679.2624160755.

The spelling of 313409933 in words is "three hundred thirteen million, four hundred nine thousand, nine hundred thirty-three".