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112186248217 is a prime number
BaseRepresentation
bin110100001111011010…
…0100100110000011001
3101201120110012220010021
41220132310210300121
53314224134420332
6123312044350441
711051036242651
oct1503664446031
9351513186107
10112186248217
114363a23781a
12198aab45421
13a76b4250c4
1456036c1361
152db8ee9c97
hex1a1ed24c19

112186248217 has 2 divisors, whose sum is σ = 112186248218. Its totient is φ = 112186248216.

The previous prime is 112186248137. The next prime is 112186248221. The reversal of 112186248217 is 712842681211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111269612041 + 916636176 = 333571^2 + 30276^2 .

It is an emirp because it is prime and its reverse (712842681211) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112186248217 is a prime.

It is not a weakly prime, because it can be changed into another prime (112186243217) 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, 56093124108 + 56093124109.

It is an arithmetic number, because the mean of its divisors is an integer number (56093124109).

Almost surely, 2112186248217 is an apocalyptic number.

It is an amenable number.

112186248217 is a deficient number, since it is larger than the sum of its proper divisors (1).

112186248217 is an equidigital number, since it uses as much as digits as its factorization.

112186248217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 86016, while the sum is 43.

The spelling of 112186248217 in words is "one hundred twelve billion, one hundred eighty-six million, two hundred forty-eight thousand, two hundred seventeen".