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313045417 is a prime number
BaseRepresentation
bin10010101010001…
…011000110101001
3210211001100120201
4102222023012221
51120114423132
651021352201
710520561566
oct2252130651
9724040521
10313045417
11150784723
1288a08661
134cb17899
142d80b86d
151c7392e7
hex12a8b1a9

313045417 has 2 divisors, whose sum is σ = 313045418. Its totient is φ = 313045416.

The previous prime is 313045367. The next prime is 313045423. The reversal of 313045417 is 714540313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309619216 + 3426201 = 17596^2 + 1851^2 .

It is an emirp because it is prime and its reverse (714540313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313045417 - 211 = 313043369 is a prime.

It is not a weakly prime, because it can be changed into another prime (313046417) 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, 156522708 + 156522709.

It is an arithmetic number, because the mean of its divisors is an integer number (156522709).

Almost surely, 2313045417 is an apocalyptic number.

It is an amenable number.

313045417 is a deficient number, since it is larger than the sum of its proper divisors (1).

313045417 is an equidigital number, since it uses as much as digits as its factorization.

313045417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 313045417 is about 17693.0895267051. The cubic root of 313045417 is about 678.9989718903.

The spelling of 313045417 in words is "three hundred thirteen million, forty-five thousand, four hundred seventeen".