Search a number
-
+
313121153 is a prime number
BaseRepresentation
bin10010101010011…
…101100110000001
3210211012012110202
4102222131212001
51120124334103
651023134545
710521325442
oct2252354601
9724165422
10313121153
11150826614
1288a44455
134cb431b7
142d82b2c9
151c751988
hex12a9d981

313121153 has 2 divisors, whose sum is σ = 313121154. Its totient is φ = 313121152.

The previous prime is 313121143. The next prime is 313121183. The reversal of 313121153 is 351121313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186513649 + 126607504 = 13657^2 + 11252^2 .

It is a cyclic number.

It is not a de Polignac number, because 313121153 - 28 = 313120897 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (313121143) 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, 156560576 + 156560577.

It is an arithmetic number, because the mean of its divisors is an integer number (156560577).

Almost surely, 2313121153 is an apocalyptic number.

It is an amenable number.

313121153 is a deficient number, since it is larger than the sum of its proper divisors (1).

313121153 is an equidigital number, since it uses as much as digits as its factorization.

313121153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270, while the sum is 20.

The square root of 313121153 is about 17695.2296679077. The cubic root of 313121153 is about 679.0537248823.

Adding to 313121153 its reverse (351121313), we get a palindrome (664242466).

The spelling of 313121153 in words is "three hundred thirteen million, one hundred twenty-one thousand, one hundred fifty-three".