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12777775000117 is a prime number
BaseRepresentation
bin1011100111110000111010…
…1111010110101000110101
31200020112200002221212111021
42321330032233112220311
53133322340400000432
643102010115341141
72456110114306351
oct271741657265065
950215602855437
1012777775000117
1140870299651a6
121524502bb17b1
13718c29018b4a
1432263a354461
151725a4e8c697
hexb9f0ebd6a35

12777775000117 has 2 divisors, whose sum is σ = 12777775000118. Its totient is φ = 12777775000116.

The previous prime is 12777775000033. The next prime is 12777775000201. The reversal of 12777775000117 is 71100057777721.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (12777775000033) and next prime (12777775000201).

It can be written as a sum of positive squares in only one way, i.e., 12073394153041 + 704380847076 = 3474679^2 + 839274^2 .

It is a cyclic number.

It is not a de Polignac number, because 12777775000117 - 231 = 12775627516469 is a prime.

It is a super-2 number, since 2×127777750001172 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12777775000217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6388887500058 + 6388887500059.

It is an arithmetic number, because the mean of its divisors is an integer number (6388887500059).

Almost surely, 212777775000117 is an apocalyptic number.

It is an amenable number.

12777775000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12777775000117 is an equidigital number, since it uses as much as digits as its factorization.

12777775000117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1176490, while the sum is 52.

The spelling of 12777775000117 in words is "twelve trillion, seven hundred seventy-seven billion, seven hundred seventy-five million, one hundred seventeen", and thus it is an aban number.