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111017115137 is a prime number
BaseRepresentation
bin110011101100100100…
…0101011111000000001
3101121112222021210001002
41213121020223320001
53304330340141022
6123000042021345
711010051623465
oct1473110537001
9347488253032
10111017115137
114309a2a3835
12196234a7855
13a61314a396
1455323084a5
152d4b55a092
hex19d922be01

111017115137 has 2 divisors, whose sum is σ = 111017115138. Its totient is φ = 111017115136.

The previous prime is 111017115119. The next prime is 111017115161. The reversal of 111017115137 is 731511710111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103734882241 + 7282232896 = 322079^2 + 85336^2 .

It is a cyclic number.

It is not a de Polignac number, because 111017115137 - 26 = 111017115073 is a prime.

It is not a weakly prime, because it can be changed into another prime (111017145137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55508557568 + 55508557569.

It is an arithmetic number, because the mean of its divisors is an integer number (55508557569).

Almost surely, 2111017115137 is an apocalyptic number.

It is an amenable number.

111017115137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111017115137 is an equidigital number, since it uses as much as digits as its factorization.

111017115137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 735, while the sum is 29.

Adding to 111017115137 its reverse (731511710111), we get a palindrome (842528825248).

The spelling of 111017115137 in words is "one hundred eleven billion, seventeen million, one hundred fifteen thousand, one hundred thirty-seven".