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12661062361133 is a prime number
BaseRepresentation
bin1011100000111110001000…
…0111111110000000101101
31122211101102012112111112112
42320033202013332000231
53124414323431024013
642532224534413405
72444505633246014
oct270174207760055
948741365474475
1012661062361133
1140415876a206a
121505970201265
1370ac18c0a014
1431ab27857a7b
1516e5238deba8
hexb83e21fe02d

12661062361133 has 2 divisors, whose sum is σ = 12661062361134. Its totient is φ = 12661062361132.

The previous prime is 12661062361127. The next prime is 12661062361151. The reversal of 12661062361133 is 33116326016621.

12661062361133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8310091894729 + 4350970466404 = 2882723^2 + 2085898^2 .

It is a cyclic number.

It is not a de Polignac number, because 12661062361133 - 26 = 12661062361069 is a prime.

It is a super-2 number, since 2×126610623611332 (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 (12661062361733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6330531180566 + 6330531180567.

It is an arithmetic number, because the mean of its divisors is an integer number (6330531180567).

Almost surely, 212661062361133 is an apocalyptic number.

It is an amenable number.

12661062361133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12661062361133 is an equidigital number, since it uses as much as digits as its factorization.

12661062361133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 139968, while the sum is 41.

Adding to 12661062361133 its reverse (33116326016621), we get a palindrome (45777388377754).

The spelling of 12661062361133 in words is "twelve trillion, six hundred sixty-one billion, sixty-two million, three hundred sixty-one thousand, one hundred thirty-three".