Search a number
-
+
313214513 is a prime number
BaseRepresentation
bin10010101010110…
…100011000110001
3210211100221112112
4102222310120301
51120140331023
651025135105
710522164563
oct2252643061
9724327475
10313214513
1115088a777
1288a8a495
134cb76841
142d853333
151c76e478
hex12ab4631

313214513 has 2 divisors, whose sum is σ = 313214514. Its totient is φ = 313214512.

The previous prime is 313214507. The next prime is 313214543. The reversal of 313214513 is 315412313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286049569 + 27164944 = 16913^2 + 5212^2 .

It is an emirp because it is prime and its reverse (315412313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313214513 - 28 = 313214257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (313214543) 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, 156607256 + 156607257.

It is an arithmetic number, because the mean of its divisors is an integer number (156607257).

Almost surely, 2313214513 is an apocalyptic number.

It is an amenable number.

313214513 is a deficient number, since it is larger than the sum of its proper divisors (1).

313214513 is an equidigital number, since it uses as much as digits as its factorization.

313214513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 23.

The square root of 313214513 is about 17697.8674704044. The cubic root of 313214513 is about 679.1212069154.

Adding to 313214513 its reverse (315412313), we get a palindrome (628626826).

The spelling of 313214513 in words is "three hundred thirteen million, two hundred fourteen thousand, five hundred thirteen".