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11261133784289 is a prime number
BaseRepresentation
bin1010001111011110111111…
…1000010000010011100001
31110212112221202221101012202
42203313233320100103201
52434000300222044124
635541143214502545
72241406251550514
oct243675770202341
943775852841182
1011261133784289
113651902498084
12131a596b04a55
13638bc704c68c
142ad082920d7b
15147ddbb8c5ae
hexa3defe104e1

11261133784289 has 2 divisors, whose sum is σ = 11261133784290. Its totient is φ = 11261133784288.

The previous prime is 11261133784267. The next prime is 11261133784331. The reversal of 11261133784289 is 98248733116211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7616451883264 + 3644681901025 = 2759792^2 + 1909105^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11261133784289 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (11261133784259) 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, 5630566892144 + 5630566892145.

It is an arithmetic number, because the mean of its divisors is an integer number (5630566892145).

Almost surely, 211261133784289 is an apocalyptic number.

It is an amenable number.

11261133784289 is a deficient number, since it is larger than the sum of its proper divisors (1).

11261133784289 is an equidigital number, since it uses as much as digits as its factorization.

11261133784289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3483648, while the sum is 56.

The spelling of 11261133784289 in words is "eleven trillion, two hundred sixty-one billion, one hundred thirty-three million, seven hundred eighty-four thousand, two hundred eighty-nine".