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110110110109 is a prime number
BaseRepresentation
bin110011010001100010…
…0101111000110011101
3101112012202121011001021
41212203010233012131
53301001142010414
6122330041444141
710645426331116
oct1464304570635
9345182534037
10110110110109
11427743174aa
121940b7a0651
13a4ca27040c
145487a8720d
152ce6ae7c24
hex19a312f19d

110110110109 has 2 divisors, whose sum is σ = 110110110110. Its totient is φ = 110110110108.

The previous prime is 110110110079. The next prime is 110110110167. The reversal of 110110110109 is 901011011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90628092025 + 19482018084 = 301045^2 + 139578^2 .

It is an emirp because it is prime and its reverse (901011011011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110110110109 - 29 = 110110109597 is a prime.

It is a super-2 number, since 2×1101101101092 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110110110092 and 110110110101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110110110169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055055054 + 55055055055.

It is an arithmetic number, because the mean of its divisors is an integer number (55055055055).

Almost surely, 2110110110109 is an apocalyptic number.

It is an amenable number.

110110110109 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110110109 is an equidigital number, since it uses as much as digits as its factorization.

110110110109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 110110110109 in words is "one hundred ten billion, one hundred ten million, one hundred ten thousand, one hundred nine".