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12002012137 is a prime number
BaseRepresentation
bin10110010110110000…
…00010101111101001
31010222102220101111001
423023120002233221
5144040003342022
65302540435001
7603264264013
oct131330025751
933872811431
1012002012137
1150a99063a5
1223ab548a61
1311936ba63b
1481bdc31b3
154a3a1bb27
hex2cb602be9

12002012137 has 2 divisors, whose sum is σ = 12002012138. Its totient is φ = 12002012136.

The previous prime is 12002012107. The next prime is 12002012177. The reversal of 12002012137 is 73121020021.

12002012137 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., 11971861056 + 30151081 = 109416^2 + 5491^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002012137 - 215 = 12001979369 is a prime.

It is not a weakly prime, because it can be changed into another prime (12002012107) 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, 6001006068 + 6001006069.

It is an arithmetic number, because the mean of its divisors is an integer number (6001006069).

Almost surely, 212002012137 is an apocalyptic number.

It is an amenable number.

12002012137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002012137 is an equidigital number, since it uses as much as digits as its factorization.

12002012137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 12002012137 its reverse (73121020021), we get a palindrome (85123032158).

The spelling of 12002012137 in words is "twelve billion, two million, twelve thousand, one hundred thirty-seven".