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110110111009 is a prime number
BaseRepresentation
bin110011010001100010…
…0101111010100100001
3101112012202121012021121
41212203010233110201
53301001142023014
6122330041452241
710645426333543
oct1464304572441
9345182535247
10110110111009
1142774318148
121940b7a1081
13a4ca270952
145487a87693
152ce6ae8124
hex19a312f521

110110111009 has 2 divisors, whose sum is σ = 110110111010. Its totient is φ = 110110111008.

The previous prime is 110110111003. The next prime is 110110111037. The reversal of 110110111009 is 900111011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84340872225 + 25769238784 = 290415^2 + 160528^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110111009 - 25 = 110110110977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110110110983 and 110110111001.

It is not a weakly prime, because it can be changed into another prime (110110111003) 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, 55055055504 + 55055055505.

It is an arithmetic number, because the mean of its divisors is an integer number (55055055505).

Almost surely, 2110110111009 is an apocalyptic number.

It is an amenable number.

110110111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110111009 is an equidigital number, since it uses as much as digits as its factorization.

110110111009 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 110110111009 in words is "one hundred ten billion, one hundred ten million, one hundred eleven thousand, nine".