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313785793 is a prime number
BaseRepresentation
bin10010101100111…
…111110111000001
3210212102222012001
4102230333313001
51120312121133
651045304001
710530064246
oct2254776701
9725388161
10313785793
1115113aa02
1289105001
1350016889
142d9615cd
151c83387d
hex12b3fdc1

313785793 has 2 divisors, whose sum is σ = 313785794. Its totient is φ = 313785792.

The previous prime is 313785781. The next prime is 313785799. The reversal of 313785793 is 397587313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303177744 + 10608049 = 17412^2 + 3257^2 .

It is a cyclic number.

It is not a de Polignac number, because 313785793 - 25 = 313785761 is a prime.

It is not a weakly prime, because it can be changed into another prime (313785799) 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, 156892896 + 156892897.

It is an arithmetic number, because the mean of its divisors is an integer number (156892897).

Almost surely, 2313785793 is an apocalyptic number.

It is an amenable number.

313785793 is a deficient number, since it is larger than the sum of its proper divisors (1).

313785793 is an equidigital number, since it uses as much as digits as its factorization.

313785793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 476280, while the sum is 46.

The square root of 313785793 is about 17713.9999153212. Note that the first 4 decimals coincide. The cubic root of 313785793 is about 679.5338450175.

The spelling of 313785793 in words is "three hundred thirteen million, seven hundred eighty-five thousand, seven hundred ninety-three".