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110110009993 is a prime number
BaseRepresentation
bin110011010001100010…
…0010110101010001001
3101112012202102001201021
41212203010112222021
53301001130304433
6122330035352441
710645425433204
oct1464304265211
9345182361637
10110110009993
1142774259265
121940b752721
13a4ca236989
145487a5c93b
152ce6ac822d
hex19a3116a89

110110009993 has 2 divisors, whose sum is σ = 110110009994. Its totient is φ = 110110009992.

The previous prime is 110110009907. The next prime is 110110010039. The reversal of 110110009993 is 399900011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108298911744 + 1811098249 = 329088^2 + 42557^2 .

It is an emirp because it is prime and its reverse (399900011011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110110009993 - 29 = 110110009481 is a prime.

It is not a weakly prime, because it can be changed into another prime (110110009693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055004996 + 55055004997.

It is an arithmetic number, because the mean of its divisors is an integer number (55055004997).

Almost surely, 2110110009993 is an apocalyptic number.

It is an amenable number.

110110009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110009993 is an equidigital number, since it uses as much as digits as its factorization.

110110009993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 34.

The spelling of 110110009993 in words is "one hundred ten billion, one hundred ten million, nine thousand, nine hundred ninety-three".