Search a number
-
+
2311123124137 is a prime number
BaseRepresentation
bin100001101000011001101…
…011000011111110101001
322011221102010220010111211
4201220121223003332221
5300331140004433022
64525414301153121
7325654533265642
oct41503153037651
98157363803454
102311123124137
11811161830963
12313ab255b7a1
13139c26969529
147dc04d926c9
15401b6e4be77
hex21a19ac3fa9

2311123124137 has 2 divisors, whose sum is σ = 2311123124138. Its totient is φ = 2311123124136.

The previous prime is 2311123124087. The next prime is 2311123124203. The reversal of 2311123124137 is 7314213211132.

It is a happy number.

2311123124137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1416852179856 + 894270944281 = 1190316^2 + 945659^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2311123124137 is a prime.

It is a super-2 number, since 2×23111231241372 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2311123124099 and 2311123124108.

It is not a weakly prime, because it can be changed into another prime (2311123124437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1155561562068 + 1155561562069.

It is an arithmetic number, because the mean of its divisors is an integer number (1155561562069).

Almost surely, 22311123124137 is an apocalyptic number.

It is an amenable number.

2311123124137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2311123124137 is an equidigital number, since it uses as much as digits as its factorization.

2311123124137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 31.

Adding to 2311123124137 its reverse (7314213211132), we get a palindrome (9625336335269).

The spelling of 2311123124137 in words is "two trillion, three hundred eleven billion, one hundred twenty-three million, one hundred twenty-four thousand, one hundred thirty-seven".