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112220102209 is a prime number
BaseRepresentation
bin110100010000011010…
…1101101111001000001
3101201122210220212001211
41220200311231321001
53314311321232314
6123315254130121
711051630062435
oct1504065557101
9351583825054
10112220102209
114365735a826
12198ba350941
13a775449357
145607db49c5
152dbbe859c4
hex1a20d6de41

112220102209 has 2 divisors, whose sum is σ = 112220102210. Its totient is φ = 112220102208.

The previous prime is 112220102191. The next prime is 112220102219. The reversal of 112220102209 is 902201022211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110419967025 + 1800135184 = 332295^2 + 42428^2 .

It is a cyclic number.

It is not a de Polignac number, because 112220102209 - 27 = 112220102081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112220102209.

It is not a weakly prime, because it can be changed into another prime (112220102219) 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, 56110051104 + 56110051105.

It is an arithmetic number, because the mean of its divisors is an integer number (56110051105).

Almost surely, 2112220102209 is an apocalyptic number.

It is an amenable number.

112220102209 is a deficient number, since it is larger than the sum of its proper divisors (1).

112220102209 is an equidigital number, since it uses as much as digits as its factorization.

112220102209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 112220102209 in words is "one hundred twelve billion, two hundred twenty million, one hundred two thousand, two hundred nine".