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12133032137 is a prime number
BaseRepresentation
bin10110100110010111…
…10110000011001001
31011022120102220010122
423103023312003021
5144322024012022
65323540553025
7606445033352
oct132313660311
934276386118
1012133032137
115166864696
1224273b2775
1311b48a2475
1483156ad29
154b029c742
hex2d32f60c9

12133032137 has 2 divisors, whose sum is σ = 12133032138. Its totient is φ = 12133032136.

The previous prime is 12133032097. The next prime is 12133032157. The reversal of 12133032137 is 73123033121.

12133032137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10786068736 + 1346963401 = 103856^2 + 36701^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133032137 - 212 = 12133028041 is a prime.

It is not a weakly prime, because it can be changed into another prime (12133032157) 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, 6066516068 + 6066516069.

It is an arithmetic number, because the mean of its divisors is an integer number (6066516069).

Almost surely, 212133032137 is an apocalyptic number.

It is an amenable number.

12133032137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133032137 is an equidigital number, since it uses as much as digits as its factorization.

12133032137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 12133032137 its reverse (73123033121), we get a palindrome (85256065258).

The spelling of 12133032137 in words is "twelve billion, one hundred thirty-three million, thirty-two thousand, one hundred thirty-seven".