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11505400129 is a prime number
BaseRepresentation
bin10101011011100011…
…00111100101000001
31002200211102212212201
422231301213211001
5142030340301004
65141400353201
7555054200416
oct125561474501
932624385781
1011505400129
114974553453
122291175801
131114850692
147b207010d
154751226a4
hex2adc67941

11505400129 has 2 divisors, whose sum is σ = 11505400130. Its totient is φ = 11505400128.

The previous prime is 11505400117. The next prime is 11505400169. The reversal of 11505400129 is 92100450511.

11505400129 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., 7594773904 + 3910626225 = 87148^2 + 62535^2 .

It is a cyclic number.

It is not a de Polignac number, because 11505400129 - 27 = 11505400001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11505400097 and 11505400106.

It is not a weakly prime, because it can be changed into another prime (11505400169) 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, 5752700064 + 5752700065.

It is an arithmetic number, because the mean of its divisors is an integer number (5752700065).

Almost surely, 211505400129 is an apocalyptic number.

It is an amenable number.

11505400129 is a deficient number, since it is larger than the sum of its proper divisors (1).

11505400129 is an equidigital number, since it uses as much as digits as its factorization.

11505400129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 11505400129 in words is "eleven billion, five hundred five million, four hundred thousand, one hundred twenty-nine".