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111101112137 is a prime number
BaseRepresentation
bin110011101111000100…
…1000110111101001001
3101121202211100021021002
41213132021012331021
53310013341042022
6123012242224345
711012121604631
oct1473611067511
9347684307232
10111101112137
1143132754a44
12196476550b5
13a627679b52
14553d5316c1
152d53aed092
hex19de246f49

111101112137 has 2 divisors, whose sum is σ = 111101112138. Its totient is φ = 111101112136.

The previous prime is 111101112131. The next prime is 111101112181. The reversal of 111101112137 is 731211101111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98251529401 + 12849582736 = 313451^2 + 113356^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101112137 - 28 = 111101111881 is a prime.

It is not a weakly prime, because it can be changed into another prime (111101112131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550556068 + 55550556069.

It is an arithmetic number, because the mean of its divisors is an integer number (55550556069).

Almost surely, 2111101112137 is an apocalyptic number.

It is an amenable number.

111101112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101112137 is an equidigital number, since it uses as much as digits as its factorization.

111101112137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 20.

Adding to 111101112137 its reverse (731211101111), we get a palindrome (842312213248).

The spelling of 111101112137 in words is "one hundred eleven billion, one hundred one million, one hundred twelve thousand, one hundred thirty-seven".