Search a number
-
+
311333149 is a prime number
BaseRepresentation
bin10010100011101…
…001000100011101
3210200211100210101
4102203221010131
51114200130044
650520541101
710500200551
oct2243510435
9720740711
10311333149
1114a815226
1288321791
134c6683ca
142d4c3861
151c4ebcd4
hex128e911d

311333149 has 2 divisors, whose sum is σ = 311333150. Its totient is φ = 311333148.

The previous prime is 311333137. The next prime is 311333153. The reversal of 311333149 is 941333113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309936025 + 1397124 = 17605^2 + 1182^2 .

It is a cyclic number.

It is not a de Polignac number, because 311333149 - 27 = 311333021 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311333849) 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, 155666574 + 155666575.

It is an arithmetic number, because the mean of its divisors is an integer number (155666575).

Almost surely, 2311333149 is an apocalyptic number.

It is an amenable number.

311333149 is a deficient number, since it is larger than the sum of its proper divisors (1).

311333149 is an equidigital number, since it uses as much as digits as its factorization.

311333149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 28.

The square root of 311333149 is about 17644.6351336603. The cubic root of 311333149 is about 677.7587318058.

The spelling of 311333149 in words is "three hundred eleven million, three hundred thirty-three thousand, one hundred forty-nine".