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313331041 is a prime number
BaseRepresentation
bin10010101011010…
…000110101100001
3210211120212101101
4102223100311201
51120203043131
651031434401
710523161402
oct2253206541
9724525341
10313331041
1115095a281
1288b25a01
134cbb78aa
142d8839a9
151c793c61
hex12ad0d61

313331041 has 2 divisors, whose sum is σ = 313331042. Its totient is φ = 313331040.

The previous prime is 313331003. The next prime is 313331069. The reversal of 313331041 is 140133313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275692816 + 37638225 = 16604^2 + 6135^2 .

It is a cyclic number.

It is not a de Polignac number, because 313331041 - 217 = 313199969 is a prime.

It is not a weakly prime, because it can be changed into another prime (313337041) 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, 156665520 + 156665521.

It is an arithmetic number, because the mean of its divisors is an integer number (156665521).

Almost surely, 2313331041 is an apocalyptic number.

It is an amenable number.

313331041 is a deficient number, since it is larger than the sum of its proper divisors (1).

313331041 is an equidigital number, since it uses as much as digits as its factorization.

313331041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 313331041 is about 17701.1593123162. The cubic root of 313331041 is about 679.2054163211.

Adding to 313331041 its reverse (140133313), we get a palindrome (453464354).

The spelling of 313331041 in words is "three hundred thirteen million, three hundred thirty-one thousand, forty-one".