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111132137 is a prime number
BaseRepresentation
bin1101001111110…
…11110111101001
321202010002122002
412213323313221
5211422212022
615005540345
72516415254
oct647736751
9252102562
10111132137
1157805246
12312746b5
131a04077c
1410a8c09b
159b53092
hex69fbde9

111132137 has 2 divisors, whose sum is σ = 111132138. Its totient is φ = 111132136.

The previous prime is 111132107. The next prime is 111132139. The reversal of 111132137 is 731231111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87909376 + 23222761 = 9376^2 + 4819^2 .

It is a cyclic number.

It is not a de Polignac number, because 111132137 - 212 = 111128041 is a prime.

Together with 111132139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (111132139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55566068 + 55566069.

It is an arithmetic number, because the mean of its divisors is an integer number (55566069).

Almost surely, 2111132137 is an apocalyptic number.

It is an amenable number.

111132137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111132137 is an equidigital number, since it uses as much as digits as its factorization.

111132137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 20.

The square root of 111132137 is about 10541.9228321972. The cubic root of 111132137 is about 480.7801794357.

Adding to 111132137 its reverse (731231111), we get a palindrome (842363248).

The spelling of 111132137 in words is "one hundred eleven million, one hundred thirty-two thousand, one hundred thirty-seven".