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313051393 is a prime number
BaseRepresentation
bin10010101010001…
…100100100000001
3210211001122210001
4102222030210001
51120120121033
651021440001
710520615164
oct2252144401
9724048701
10313051393
11150789166
1288a10001
134cb1a515
142d80dadb
151c73ae7d
hex12a8c901

313051393 has 2 divisors, whose sum is σ = 313051394. Its totient is φ = 313051392.

The previous prime is 313051381. The next prime is 313051397. The reversal of 313051393 is 393150313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 306145009 + 6906384 = 17497^2 + 2628^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313051393 is a prime.

It is equal to p16920505 and since 313051393 and 16920505 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 (313051397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156525696 + 156525697.

It is an arithmetic number, because the mean of its divisors is an integer number (156525697).

Almost surely, 2313051393 is an apocalyptic number.

It is an amenable number.

313051393 is a deficient number, since it is larger than the sum of its proper divisors (1).

313051393 is an equidigital number, since it uses as much as digits as its factorization.

313051393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3645, while the sum is 28.

The square root of 313051393 is about 17693.2584053927. The cubic root of 313051393 is about 679.0032925329.

The spelling of 313051393 in words is "three hundred thirteen million, fifty-one thousand, three hundred ninety-three".