Search a number
-
+
313123169 is a prime number
BaseRepresentation
bin10010101010011…
…110000101100001
3210211012022020102
4102222132011201
51120124420134
651023152145
710521334352
oct2252360541
9724168212
10313123169
11150828087
1288a45655
134cb440a8
142d82bd29
151c75237e
hex12a9e161

313123169 has 2 divisors, whose sum is σ = 313123170. Its totient is φ = 313123168.

The previous prime is 313123141. The next prime is 313123177. The reversal of 313123169 is 961321313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188018944 + 125104225 = 13712^2 + 11185^2 .

It is a cyclic number.

It is not a de Polignac number, because 313123169 - 28 = 313122913 is a prime.

It is a super-2 number, since 2×3131231692 = 196092237929205122, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (313120169) 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, 156561584 + 156561585.

It is an arithmetic number, because the mean of its divisors is an integer number (156561585).

Almost surely, 2313123169 is an apocalyptic number.

It is an amenable number.

313123169 is a deficient number, since it is larger than the sum of its proper divisors (1).

313123169 is an equidigital number, since it uses as much as digits as its factorization.

313123169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 29.

The square root of 313123169 is about 17695.2866323210. The cubic root of 313123169 is about 679.0551822195.

The spelling of 313123169 in words is "three hundred thirteen million, one hundred twenty-three thousand, one hundred sixty-nine".