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11011110000113 is a prime number
BaseRepresentation
bin1010000000111011100101…
…0011001101010111110001
31102222122121012002011100002
42200032321103031113301
52420401223130000423
635230233433235345
72214345366501236
oct240167123152761
942878535064302
1011011110000113
113565870599493
12129a03a562b55
1361b460083b12
142a0d24cbb78d
15141656c26228
hexa03b94cd5f1

11011110000113 has 2 divisors, whose sum is σ = 11011110000114. Its totient is φ = 11011110000112.

The previous prime is 11011110000109. The next prime is 11011110000119. The reversal of 11011110000113 is 31100001111011.

11011110000113 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., 6205619067664 + 4805490932449 = 2491108^2 + 2192143^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011110000113 - 22 = 11011110000109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011110000094 and 11011110000103.

It is not a weakly prime, because it can be changed into another prime (11011110000119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505555000056 + 5505555000057.

It is an arithmetic number, because the mean of its divisors is an integer number (5505555000057).

Almost surely, 211011110000113 is an apocalyptic number.

It is an amenable number.

11011110000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011110000113 is an equidigital number, since it uses as much as digits as its factorization.

11011110000113 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 11.

Adding to 11011110000113 its reverse (31100001111011), we get a palindrome (42111111111124).

The spelling of 11011110000113 in words is "eleven trillion, eleven billion, one hundred ten million, one hundred thirteen", and thus it is an aban number.