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11011112117 is a prime number
BaseRepresentation
bin10100100000101000…
…00011110010110101
31001102101100110012022
422100110003302311
5140022321041432
65020342202525
7536602623455
oct122024036265
931371313168
1011011112117
114740538565
122173723445
131066318475
14766563d65
15446a36b12
hex290503cb5

11011112117 has 2 divisors, whose sum is σ = 11011112118. Its totient is φ = 11011112116.

The previous prime is 11011112113. The next prime is 11011112141. The reversal of 11011112117 is 71121111011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9336583876 + 1674528241 = 96626^2 + 40921^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011112117 - 22 = 11011112113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011112095 and 11011112104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11011112113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505556058 + 5505556059.

It is an arithmetic number, because the mean of its divisors is an integer number (5505556059).

Almost surely, 211011112117 is an apocalyptic number.

It is an amenable number.

11011112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011112117 is an equidigital number, since it uses as much as digits as its factorization.

11011112117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 17.

Adding to 11011112117 its reverse (71121111011), we get a palindrome (82132223128).

The spelling of 11011112117 in words is "eleven billion, eleven million, one hundred twelve thousand, one hundred seventeen".