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110000110093 is a prime number
BaseRepresentation
bin110011001110010000…
…1000111101000001101
3101111221002121120101121
41212130201013220031
53300240012010333
6122311112040541
710642622336266
oct1463441075015
9344832546347
10110000110093
11427182158a5
121939a993151
13a4b0538053
14547721196d
152cdc11a32d
hex199c847a0d

110000110093 has 2 divisors, whose sum is σ = 110000110094. Its totient is φ = 110000110092.

The previous prime is 110000110091. The next prime is 110000110097. The reversal of 110000110093 is 390011000011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90915516484 + 19084593609 = 301522^2 + 138147^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000110093 - 21 = 110000110091 is a prime.

Together with 110000110091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110000110091) 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, 55000055046 + 55000055047.

It is an arithmetic number, because the mean of its divisors is an integer number (55000055047).

Almost surely, 2110000110093 is an apocalyptic number.

It is an amenable number.

110000110093 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000110093 is an equidigital number, since it uses as much as digits as its factorization.

110000110093 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 16.

The spelling of 110000110093 in words is "one hundred ten billion, one hundred ten thousand, ninety-three".