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110109983617 is a prime number
BaseRepresentation
bin110011010001100010…
…0010000001110000001
3101112012202100201112101
41212203010100032001
53301001123433432
6122330035030401
710645425263254
oct1464304201601
9345182321471
10110109983617
1142774240467
121940b73b401
13a4ca22797a
145487a5309b
152ce6ac04e7
hex19a3110381

110109983617 has 2 divisors, whose sum is σ = 110109983618. Its totient is φ = 110109983616.

The previous prime is 110109983609. The next prime is 110109983657. The reversal of 110109983617 is 716389901011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57753221761 + 52356761856 = 240319^2 + 228816^2 .

It is a cyclic number.

It is not a de Polignac number, because 110109983617 - 23 = 110109983609 is a prime.

It is not a weakly prime, because it can be changed into another prime (110109983657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55054991808 + 55054991809.

It is an arithmetic number, because the mean of its divisors is an integer number (55054991809).

Almost surely, 2110109983617 is an apocalyptic number.

It is an amenable number.

110109983617 is a deficient number, since it is larger than the sum of its proper divisors (1).

110109983617 is an equidigital number, since it uses as much as digits as its factorization.

110109983617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 46.

The spelling of 110109983617 in words is "one hundred ten billion, one hundred nine million, nine hundred eighty-three thousand, six hundred seventeen".