Search a number
-
+
111935116031 is a prime number
BaseRepresentation
bin110100000111111011…
…0100101001011111111
3101200220221200001112012
41220033312211023333
53313220342203111
6123231114001435
711041566534104
oct1501766451377
9350827601465
10111935116031
1143520500462
121983aa1627b
13a72b3a728b
1455bc1ccaab
152da1e4048b
hex1a0fda52ff

111935116031 has 2 divisors, whose sum is σ = 111935116032. Its totient is φ = 111935116030.

The previous prime is 111935116003. The next prime is 111935116079. The reversal of 111935116031 is 130611539111.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-111935116031 is a prime.

It is a super-2 number, since 2×1119351160312 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111935116001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55967558015 + 55967558016.

It is an arithmetic number, because the mean of its divisors is an integer number (55967558016).

Almost surely, 2111935116031 is an apocalyptic number.

111935116031 is a deficient number, since it is larger than the sum of its proper divisors (1).

111935116031 is an equidigital number, since it uses as much as digits as its factorization.

111935116031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 32.

The spelling of 111935116031 in words is "one hundred eleven billion, nine hundred thirty-five million, one hundred sixteen thousand, thirty-one".