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11505612401 is a prime number
BaseRepresentation
bin10101011011100100…
…11011011001110001
31002200211211200001122
422231302123121301
5142030414044101
65141405112025
7555056043323
oct125562333161
932624750048
1011505612401
114974688988
122291258615
1311148c619a
147b20c7613
1547516551b
hex2adc9b671

11505612401 has 2 divisors, whose sum is σ = 11505612402. Its totient is φ = 11505612400.

The previous prime is 11505612323. The next prime is 11505612451. The reversal of 11505612401 is 10421650511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10363240000 + 1142372401 = 101800^2 + 33799^2 .

It is a cyclic number.

It is not a de Polignac number, because 11505612401 - 226 = 11438503537 is a prime.

It is not a weakly prime, because it can be changed into another prime (11505612451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5752806200 + 5752806201.

It is an arithmetic number, because the mean of its divisors is an integer number (5752806201).

Almost surely, 211505612401 is an apocalyptic number.

It is an amenable number.

11505612401 is a deficient number, since it is larger than the sum of its proper divisors (1).

11505612401 is an equidigital number, since it uses as much as digits as its factorization.

11505612401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 11505612401 in words is "eleven billion, five hundred five million, six hundred twelve thousand, four hundred one".