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1011110000113 is a prime number
BaseRepresentation
bin11101011011010101101…
…10100011010111110001
310120122211222211220111201
432231222312203113301
5113031223130000423
62052255244211201
7133023151123633
oct16555266432761
93518758756451
101011110000113
1135a89a265474
12143b62839b01
1374468c285c5
1436d1bb8ca53
151b47bcd32ad
hexeb6ada35f1

1011110000113 has 2 divisors, whose sum is σ = 1011110000114. Its totient is φ = 1011110000112.

The previous prime is 1011110000053. The next prime is 1011110000141. The reversal of 1011110000113 is 3110000111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 785159032464 + 225950967649 = 886092^2 + 475343^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011110000113 - 213 = 1011109991921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1011110000113.

It is not a weakly prime, because it can be changed into another prime (1011110000513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505555000056 + 505555000057.

It is an arithmetic number, because the mean of its divisors is an integer number (505555000057).

Almost surely, 21011110000113 is an apocalyptic number.

It is an amenable number.

1011110000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011110000113 is an equidigital number, since it uses as much as digits as its factorization.

1011110000113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 1011110000113 its reverse (3110000111101), we get a palindrome (4121110111214).

The spelling of 1011110000113 in words is "one trillion, eleven billion, one hundred ten million, one hundred thirteen", and thus it is an aban number.