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11126312305 = 589223711177
BaseRepresentation
bin10100101110010111…
…00000110101110001
31001201102010020010221
422113023200311301
5140241313443210
65040015253041
7542502044203
oct122713406561
931642106127
1011126312305
11479a571129
1221a621a181
131084151764
14777990773
15451be01da
hex2972e0d71

11126312305 has 16 divisors (see below), whose sum is σ = 13508836560. Its totient is φ = 8796316672.

The previous prime is 11126312273. The next prime is 11126312341. The reversal of 11126312305 is 50321362111.

It is a happy number.

11126312305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 196028001 + 10930284304 = 14001^2 + 104548^2 .

It is a cyclic number.

It is not a de Polignac number, because 11126312305 - 25 = 11126312273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11126312305.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 989877 + ... + 1001053.

It is an arithmetic number, because the mean of its divisors is an integer number (844302285).

Almost surely, 211126312305 is an apocalyptic number.

It is an amenable number.

11126312305 is a deficient number, since it is larger than the sum of its proper divisors (2382524255).

11126312305 is a wasteful number, since it uses less digits than its factorization.

11126312305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 11126312305 its reverse (50321362111), we get a palindrome (61447674416).

The spelling of 11126312305 in words is "eleven billion, one hundred twenty-six million, three hundred twelve thousand, three hundred five".

Divisors: 1 5 89 445 2237 11177 11185 55885 199093 994753 995465 4973765 25002949 125014745 2225262461 11126312305