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111101101117 is a prime number
BaseRepresentation
bin110011101111000100…
…1000100010000111101
3101121202211022201010221
41213132021010100331
53310013340213432
6123012242101341
711012121530536
oct1473611042075
9347684281127
10111101101117
1143132747736
121964764a851
13a627674b26
14553d52b68d
152d53ae9b97
hex19de24443d

111101101117 has 2 divisors, whose sum is σ = 111101101118. Its totient is φ = 111101101116.

The previous prime is 111101101099. The next prime is 111101101127. The reversal of 111101101117 is 711101101111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77710482756 + 33390618361 = 278766^2 + 182731^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101101117 - 211 = 111101099069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111101101117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111101101127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550550558 + 55550550559.

It is an arithmetic number, because the mean of its divisors is an integer number (55550550559).

Almost surely, 2111101101117 is an apocalyptic number.

It is an amenable number.

111101101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101101117 is an equidigital number, since it uses as much as digits as its factorization.

111101101117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 16.

Adding to 111101101117 its reverse (711101101111), we get a palindrome (822202202228).

The spelling of 111101101117 in words is "one hundred eleven billion, one hundred one million, one hundred one thousand, one hundred seventeen".