Search a number
-
+
311141137 is a prime number
BaseRepresentation
bin10010100010111…
…010001100010001
3210200110121101211
4102202322030101
51114123004022
650512500121
710465441006
oct2242721421
9720417354
10311141137
1114a6a3a3a
128824a641
134c5cbba8
142d4738ad
151c4aee77
hex128ba311

311141137 has 2 divisors, whose sum is σ = 311141138. Its totient is φ = 311141136.

The previous prime is 311141119. The next prime is 311141143. The reversal of 311141137 is 731141113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228130816 + 83010321 = 15104^2 + 9111^2 .

It is an emirp because it is prime and its reverse (731141113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311141137 - 219 = 310616849 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (311141197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155570568 + 155570569.

It is an arithmetic number, because the mean of its divisors is an integer number (155570569).

Almost surely, 2311141137 is an apocalyptic number.

It is an amenable number.

311141137 is a deficient number, since it is larger than the sum of its proper divisors (1).

311141137 is an equidigital number, since it uses as much as digits as its factorization.

311141137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 252, while the sum is 22.

The square root of 311141137 is about 17639.1932071736. The cubic root of 311141137 is about 677.6193692259.

The spelling of 311141137 in words is "three hundred eleven million, one hundred forty-one thousand, one hundred thirty-seven".