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2111132137 is a prime number
BaseRepresentation
bin111110111010101…
…0101000111101001
312110010110121212011
41331311111013221
513310422212022
6545252515521
7103213220122
oct17565250751
95403417764
102111132137
11993751904
124ab01bba1
132784b7b1a
14160547049
15c5515977
hex7dd551e9

2111132137 has 2 divisors, whose sum is σ = 2111132138. Its totient is φ = 2111132136.

The previous prime is 2111132129. The next prime is 2111132167. The reversal of 2111132137 is 7312311112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1168887721 + 942244416 = 34189^2 + 30696^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111132137 - 23 = 2111132129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2111132167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055566068 + 1055566069.

It is an arithmetic number, because the mean of its divisors is an integer number (1055566069).

Almost surely, 22111132137 is an apocalyptic number.

It is an amenable number.

2111132137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111132137 is an equidigital number, since it uses as much as digits as its factorization.

2111132137 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2111132137 is about 45947.0579798098. The cubic root of 2111132137 is about 1282.8379692618.

Adding to 2111132137 its reverse (7312311112), we get a palindrome (9423443249).

The spelling of 2111132137 in words is "two billion, one hundred eleven million, one hundred thirty-two thousand, one hundred thirty-seven".