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112527242137 is a prime number
BaseRepresentation
bin110100011001100100…
…1010111001110011001
3101202110012212011211201
41220303021113032121
53320423433222022
6123405545154201
711062346530222
oct1506311271631
9352405764751
10112527242137
11437a4770582
121998518b961
13a7c3c76c5b
145636ac6249
152dd8e05127
hex1a33257399

112527242137 has 2 divisors, whose sum is σ = 112527242138. Its totient is φ = 112527242136.

The previous prime is 112527242131. The next prime is 112527242143. The reversal of 112527242137 is 731242725211.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (112527242131) and next prime (112527242143).

It can be written as a sum of positive squares in only one way, i.e., 108923761296 + 3603480841 = 330036^2 + 60029^2 .

It is a cyclic number.

It is not a de Polignac number, because 112527242137 - 223 = 112518853529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112527242096 and 112527242105.

It is not a weakly prime, because it can be changed into another prime (112527242131) 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, 56263621068 + 56263621069.

It is an arithmetic number, because the mean of its divisors is an integer number (56263621069).

Almost surely, 2112527242137 is an apocalyptic number.

It is an amenable number.

112527242137 is a deficient number, since it is larger than the sum of its proper divisors (1).

112527242137 is an equidigital number, since it uses as much as digits as its factorization.

112527242137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 47040, while the sum is 37.

Adding to 112527242137 its reverse (731242725211), we get a palindrome (843769967348).

The spelling of 112527242137 in words is "one hundred twelve billion, five hundred twenty-seven million, two hundred forty-two thousand, one hundred thirty-seven".