Search a number
-
+
313643401 is a prime number
BaseRepresentation
bin10010101100011…
…101000110001001
3210212011201212021
4102230131012021
51120243042101
651042244441
710525632151
oct2254350611
9725151767
10313643401
11151052a25
1289056721
134cc96b16
142d925761
151c8065a1
hex12b1d189

313643401 has 2 divisors, whose sum is σ = 313643402. Its totient is φ = 313643400.

The previous prime is 313643377. The next prime is 313643417. The reversal of 313643401 is 104346313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302760000 + 10883401 = 17400^2 + 3299^2 .

It is a cyclic number.

It is not a de Polignac number, because 313643401 - 223 = 305254793 is a prime.

It is not a weakly prime, because it can be changed into another prime (313641401) 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, 156821700 + 156821701.

It is an arithmetic number, because the mean of its divisors is an integer number (156821701).

Almost surely, 2313643401 is an apocalyptic number.

It is an amenable number.

313643401 is a deficient number, since it is larger than the sum of its proper divisors (1).

313643401 is an equidigital number, since it uses as much as digits as its factorization.

313643401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 313643401 is about 17709.9802653758. The cubic root of 313643401 is about 679.4310415284.

Adding to 313643401 its reverse (104346313), we get a palindrome (417989714).

The spelling of 313643401 in words is "three hundred thirteen million, six hundred forty-three thousand, four hundred one".