Search a number
-
+
313231301 is a prime number
BaseRepresentation
bin10010101010111…
…000011111000101
3210211101210120022
4102222320133011
51120141400201
651025344525
710522264535
oct2252703705
9724353508
10313231301
111508a1349
1288a98145
134cb81386
142d8594c5
151c77441b
hex12ab87c5

313231301 has 2 divisors, whose sum is σ = 313231302. Its totient is φ = 313231300.

The previous prime is 313231297. The next prime is 313231327. The reversal of 313231301 is 103132313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 282206401 + 31024900 = 16799^2 + 5570^2 .

It is an emirp because it is prime and its reverse (103132313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313231301 - 22 = 313231297 is a prime.

It is a super-2 number, since 2×3132313012 = 196227695852305202, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313231301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313231601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156615650 + 156615651.

It is an arithmetic number, because the mean of its divisors is an integer number (156615651).

Almost surely, 2313231301 is an apocalyptic number.

It is an amenable number.

313231301 is a deficient number, since it is larger than the sum of its proper divisors (1).

313231301 is an equidigital number, since it uses as much as digits as its factorization.

313231301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 313231301 is about 17698.3417584812. The cubic root of 313231301 is about 679.1333401155.

Adding to 313231301 its reverse (103132313), we get a palindrome (416363614).

The spelling of 313231301 in words is "three hundred thirteen million, two hundred thirty-one thousand, three hundred one".