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110111111093 is a prime number
BaseRepresentation
bin110011010001100100…
…0100011011110110101
3101112012211111000010202
41212203020203132311
53301001421023333
6122330115130245
710645441000334
oct1464310433665
9345184430122
10110111111093
1142774940565
121940bba3985
13a4ca530c09
145487c67d1b
152ce6c445e8
hex19a32237b5

110111111093 has 2 divisors, whose sum is σ = 110111111094. Its totient is φ = 110111111092.

The previous prime is 110111111087. The next prime is 110111111101. The reversal of 110111111093 is 390111111011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109295037604 + 816073489 = 330598^2 + 28567^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111111093 - 210 = 110111110069 is a prime.

It is a super-2 number, since 2×1101111110932 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110111111083) 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, 55055555546 + 55055555547.

It is an arithmetic number, because the mean of its divisors is an integer number (55055555547).

Almost surely, 2110111111093 is an apocalyptic number.

It is an amenable number.

110111111093 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111111093 is an equidigital number, since it uses as much as digits as its factorization.

110111111093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 20.

The spelling of 110111111093 in words is "one hundred ten billion, one hundred eleven million, one hundred eleven thousand, ninety-three".