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110100221117 is a prime number
BaseRepresentation
bin110011010001001111…
…1000000110010111101
3101112012001222201220022
41212202133000302331
53300441124033432
6122325045501525
710645246303205
oct1464237006275
9345161881808
10110100221117
1142769782787
12194084118a5
13a4c81ba243
145486631405
152ce5ce2b12
hex19a27c0cbd

110100221117 has 2 divisors, whose sum is σ = 110100221118. Its totient is φ = 110100221116.

The previous prime is 110100221107. The next prime is 110100221141. The reversal of 110100221117 is 711122001011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93104927161 + 16995293956 = 305131^2 + 130366^2 .

It is a cyclic number.

It is not a de Polignac number, because 110100221117 - 26 = 110100221053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110100221095 and 110100221104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110100221107) 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, 55050110558 + 55050110559.

It is an arithmetic number, because the mean of its divisors is an integer number (55050110559).

Almost surely, 2110100221117 is an apocalyptic number.

It is an amenable number.

110100221117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100221117 is an equidigital number, since it uses as much as digits as its factorization.

110100221117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 110100221117 its reverse (711122001011), we get a palindrome (821222222128).

The spelling of 110100221117 in words is "one hundred ten billion, one hundred million, two hundred twenty-one thousand, one hundred seventeen".