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110111121217 is a prime number
BaseRepresentation
bin110011010001100100…
…0100101111101000001
3101112012211111112000201
41212203020211331001
53301001421334332
6122330115245201
710645441042006
oct1464310457501
9345184445021
10110111121217
1142774948129
121940bba9801
13a4ca5356c6
145487c6b8ad
152ce6c475e7
hex19a3225f41

110111121217 has 2 divisors, whose sum is σ = 110111121218. Its totient is φ = 110111121216.

The previous prime is 110111121199. The next prime is 110111121227. The reversal of 110111121217 is 712121111011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84726984241 + 25384136976 = 291079^2 + 159324^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111121217 - 223 = 110102732609 is a prime.

It is a super-2 number, since 2×1101111212172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110111121194 and 110111121203.

It is not a weakly prime, because it can be changed into another prime (110111121227) 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, 55055560608 + 55055560609.

It is an arithmetic number, because the mean of its divisors is an integer number (55055560609).

Almost surely, 2110111121217 is an apocalyptic number.

It is an amenable number.

110111121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111121217 is an equidigital number, since it uses as much as digits as its factorization.

110111121217 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 19.

Adding to 110111121217 its reverse (712121111011), we get a palindrome (822232232228).

The spelling of 110111121217 in words is "one hundred ten billion, one hundred eleven million, one hundred twenty-one thousand, two hundred seventeen".