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110222211217 is a prime number
BaseRepresentation
bin110011010100111000…
…0010111100010010001
3101112111120112110212011
41212221300113202101
53301213341224332
6122345124302521
710651260223366
oct1465160274221
9345446473764
10110222211217
1142821623748
1219441241a41
13a51755cc31
14549890846d
152d0188ce47
hex19a9c17891

110222211217 has 2 divisors, whose sum is σ = 110222211218. Its totient is φ = 110222211216.

The previous prime is 110222211199. The next prime is 110222211241. The reversal of 110222211217 is 712112222011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110154954816 + 67256401 = 331896^2 + 8201^2 .

It is a cyclic number.

It is not a de Polignac number, because 110222211217 - 27 = 110222211089 is a prime.

It is not a weakly prime, because it can be changed into another prime (110222215217) 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, 55111105608 + 55111105609.

It is an arithmetic number, because the mean of its divisors is an integer number (55111105609).

Almost surely, 2110222211217 is an apocalyptic number.

It is an amenable number.

110222211217 is a deficient number, since it is larger than the sum of its proper divisors (1).

110222211217 is an equidigital number, since it uses as much as digits as its factorization.

110222211217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 110222211217 its reverse (712112222011), we get a palindrome (822334433228).

The spelling of 110222211217 in words is "one hundred ten billion, two hundred twenty-two million, two hundred eleven thousand, two hundred seventeen".