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11132122513 is a prime number
BaseRepresentation
bin10100101111000011…
…01011010110010001
31001201211001102020211
422113201223112101
5140244310410023
65040344004121
7542602323451
oct122741532621
931654042224
1011132122513
1147a287a456
1221a8160641
131085407255
14778663d61
1545248ba0d
hex29786b591

11132122513 has 2 divisors, whose sum is σ = 11132122514. Its totient is φ = 11132122512.

The previous prime is 11132122501. The next prime is 11132122541. The reversal of 11132122513 is 31522123111.

11132122513 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., 7830126144 + 3301996369 = 88488^2 + 57463^2 .

It is a cyclic number.

It is not a de Polignac number, because 11132122513 - 213 = 11132114321 is a prime.

It is not a weakly prime, because it can be changed into another prime (11132122543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5566061256 + 5566061257.

It is an arithmetic number, because the mean of its divisors is an integer number (5566061257).

Almost surely, 211132122513 is an apocalyptic number.

It is an amenable number.

11132122513 is a deficient number, since it is larger than the sum of its proper divisors (1).

11132122513 is an equidigital number, since it uses as much as digits as its factorization.

11132122513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 22.

Adding to 11132122513 its reverse (31522123111), we get a palindrome (42654245624).

The spelling of 11132122513 in words is "eleven billion, one hundred thirty-two million, one hundred twenty-two thousand, five hundred thirteen".