Search a number
-
+
313412213 is a prime number
BaseRepresentation
bin10010101011100…
…100101001110101
3210211201222201202
4102223210221311
51120213142323
651033302245
710523650142
oct2253445165
9724658652
10313412213
11150a05264
1288b64985
134cc1581a
142d8a53c9
151c7acd28
hex12ae4a75

313412213 has 2 divisors, whose sum is σ = 313412214. Its totient is φ = 313412212.

The previous prime is 313412173. The next prime is 313412249. The reversal of 313412213 is 312214313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289578289 + 23833924 = 17017^2 + 4882^2 .

It is an emirp because it is prime and its reverse (312214313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313412213 - 26 = 313412149 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313312213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156706106 + 156706107.

It is an arithmetic number, because the mean of its divisors is an integer number (156706107).

Almost surely, 2313412213 is an apocalyptic number.

It is an amenable number.

313412213 is a deficient number, since it is larger than the sum of its proper divisors (1).

313412213 is an equidigital number, since it uses as much as digits as its factorization.

313412213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 20.

The square root of 313412213 is about 17703.4520080124. The cubic root of 313412213 is about 679.2640632415.

Adding to 313412213 its reverse (312214313), we get a palindrome (625626526).

The spelling of 313412213 in words is "three hundred thirteen million, four hundred twelve thousand, two hundred thirteen".