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112624206641 is a prime number
BaseRepresentation
bin110100011100011101…
…1010000001100110001
3101202200222022111010122
41220320323100030301
53321123244103031
6123423331340025
711064634650452
oct1507073201461
9352628274118
10112624206641
1143844479431
12199b1751615
13a80b096bbb
145645927129
152de26aa47b
hex1a38ed0331

112624206641 has 2 divisors, whose sum is σ = 112624206642. Its totient is φ = 112624206640.

The previous prime is 112624206619. The next prime is 112624206689. The reversal of 112624206641 is 146602426211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111419769616 + 1204437025 = 333796^2 + 34705^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112624206641 is a prime.

It is not a weakly prime, because it can be changed into another prime (112624206841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56312103320 + 56312103321.

It is an arithmetic number, because the mean of its divisors is an integer number (56312103321).

Almost surely, 2112624206641 is an apocalyptic number.

It is an amenable number.

112624206641 is a deficient number, since it is larger than the sum of its proper divisors (1).

112624206641 is an equidigital number, since it uses as much as digits as its factorization.

112624206641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 112624206641 in words is "one hundred twelve billion, six hundred twenty-four million, two hundred six thousand, six hundred forty-one".