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12282438446137 is a prime number
BaseRepresentation
bin1011001010111011101001…
…1000010110110000111001
31121111012010020211202112201
42302232322120112300321
53102213413220234022
642042250242110201
72405243163131356
oct262567230266071
947435106752481
1012282438446137
113a05a53333822
12146450394b361
136b12c90a09b2
1430668a62562d
15164763981127
hexb2bba616c39

12282438446137 has 2 divisors, whose sum is σ = 12282438446138. Its totient is φ = 12282438446136.

The previous prime is 12282438446029. The next prime is 12282438446153. The reversal of 12282438446137 is 73164483428221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7691686545321 + 4590751900816 = 2773389^2 + 2142604^2 .

It is a cyclic number.

It is not a de Polignac number, because 12282438446137 - 227 = 12282304228409 is a prime.

It is not a weakly prime, because it can be changed into another prime (12282438446167) 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, 6141219223068 + 6141219223069.

It is an arithmetic number, because the mean of its divisors is an integer number (6141219223069).

Almost surely, 212282438446137 is an apocalyptic number.

It is an amenable number.

12282438446137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12282438446137 is an equidigital number, since it uses as much as digits as its factorization.

12282438446137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12386304, while the sum is 55.

The spelling of 12282438446137 in words is "twelve trillion, two hundred eighty-two billion, four hundred thirty-eight million, four hundred forty-six thousand, one hundred thirty-seven".