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12988212365241 = 321784890276897
BaseRepresentation
bin1011110100000000110111…
…0010001100011110111001
31200222122211211222122021100
42331000031302030132321
53200244324331141431
643342411414402013
72510240003352321
oct275001562143671
950878754878240
1012988212365241
1141582a7307293
121559252060309
13732a2481a1c9
1432c8c06c8281
15177cbe8b44e6
hexbd00dc8c7b9

12988212365241 has 12 divisors (see below), whose sum is σ = 19864324794132. Its totient is φ = 8149466582016.

The previous prime is 12988212365221. The next prime is 12988212365339. The reversal of 12988212365241 is 14256321288921.

12988212365241 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 82 + 1 + 2 + 36 + 524 + 1 = 666.

12988212365241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3630945494016 + 9357266871225 = 1905504^2 + 3058965^2 .

It is not a de Polignac number, because 12988212365241 - 25 = 12988212365209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12988212365221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42445138296 + ... + 42445138601.

It is an arithmetic number, because the mean of its divisors is an integer number (1655360399511).

Almost surely, 212988212365241 is an apocalyptic number.

It is an amenable number.

12988212365241 is a deficient number, since it is larger than the sum of its proper divisors (6876112428891).

12988212365241 is a wasteful number, since it uses less digits than its factorization.

12988212365241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84890276920 (or 84890276917 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 12988212365241 in words is "twelve trillion, nine hundred eighty-eight billion, two hundred twelve million, three hundred sixty-five thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 153 84890276897 254670830691 764012492073 1443134707249 4329404121747 12988212365241