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313011001 is a prime number
BaseRepresentation
bin10010101010000…
…010101100111001
3210210222121101001
4102222002230321
51120112323001
651020525001
710520356342
oct2252025471
9723877331
10313011001
11150760886
12889b0761
134cb05014
142d7dd0c9
151c72e001
hex12a82b39

313011001 has 2 divisors, whose sum is σ = 313011002. Its totient is φ = 313011000.

The previous prime is 313010977. The next prime is 313011029. The reversal of 313011001 is 100110313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312440976 + 570025 = 17676^2 + 755^2 .

It is a cyclic number.

It is not a de Polignac number, because 313011001 - 227 = 178793273 is a prime.

It is not a weakly prime, because it can be changed into another prime (313011031) 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, 156505500 + 156505501.

It is an arithmetic number, because the mean of its divisors is an integer number (156505501).

Almost surely, 2313011001 is an apocalyptic number.

It is an amenable number.

313011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

313011001 is an equidigital number, since it uses as much as digits as its factorization.

313011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 313011001 is about 17692.1169168644. The cubic root of 313011001 is about 678.9740880835.

Adding to 313011001 its reverse (100110313), we get a palindrome (413121314).

The spelling of 313011001 in words is "three hundred thirteen million, eleven thousand, one".