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12953132110117 is a prime number
BaseRepresentation
bin1011110001111110001011…
…0101101001000100100101
31200212022022001022001000001
42330133202311221010211
53144211003310010432
643314330423021301
72504555455201123
oct274374265510445
950768261261001
1012953132110117
114144435430401
1215524a189a831
1372c623aa6cb4
1432ad1368a913
15176e19c7e9e7
hexbc7e2d69125

12953132110117 has 2 divisors, whose sum is σ = 12953132110118. Its totient is φ = 12953132110116.

The previous prime is 12953132110109. The next prime is 12953132110133. The reversal of 12953132110117 is 71101123135921.

It is a Cunningham number, because it is equal to 35990462+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12953132110116 + 1 = 3599046^2 + 1^2 .

It is an emirp because it is prime and its reverse (71101123135921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12953132110117 - 23 = 12953132110109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12953132110817) 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, 6476566055058 + 6476566055059.

It is an arithmetic number, because the mean of its divisors is an integer number (6476566055059).

Almost surely, 212953132110117 is an apocalyptic number.

It is an amenable number.

12953132110117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12953132110117 is an equidigital number, since it uses as much as digits as its factorization.

12953132110117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 37.

The spelling of 12953132110117 in words is "twelve trillion, nine hundred fifty-three billion, one hundred thirty-two million, one hundred ten thousand, one hundred seventeen".