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12107006444153 is a prime number
BaseRepresentation
bin1011000000101110000111…
…0100011000001001111001
31120212102022002120200112202
42300023201310120021321
53041330122122203103
641425514301315545
72356462622536625
oct260134164301171
946772262520482
1012107006444153
113948609566115
121436503b65bb5
1369a8bb95046a
142dbda7396185
1515ede72e8988
hexb02e1d18279

12107006444153 has 2 divisors, whose sum is σ = 12107006444154. Its totient is φ = 12107006444152.

The previous prime is 12107006444147. The next prime is 12107006444179. The reversal of 12107006444153 is 35144460070121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12075152404624 + 31854039529 = 3474932^2 + 178477^2 .

It is a cyclic number.

It is not a de Polignac number, because 12107006444153 - 26 = 12107006444089 is a prime.

It is not a weakly prime, because it can be changed into another prime (12107006444353) 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, 6053503222076 + 6053503222077.

It is an arithmetic number, because the mean of its divisors is an integer number (6053503222077).

Almost surely, 212107006444153 is an apocalyptic number.

It is an amenable number.

12107006444153 is a deficient number, since it is larger than the sum of its proper divisors (1).

12107006444153 is an equidigital number, since it uses as much as digits as its factorization.

12107006444153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 12107006444153 in words is "twelve trillion, one hundred seven billion, six million, four hundred forty-four thousand, one hundred fifty-three".