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110110102217 is a prime number
BaseRepresentation
bin110011010001100010…
…0101101001011001001
3101112012202120202012222
41212203010231023021
53301001141232332
6122330041343425
710645426266113
oct1464304551311
9345182522188
10110110102217
1142774311585
121940b797b75
13a4ca26994b
145487a843b3
152ce6ae5712
hex19a312d2c9

110110102217 has 2 divisors, whose sum is σ = 110110102218. Its totient is φ = 110110102216.

The previous prime is 110110102199. The next prime is 110110102243. The reversal of 110110102217 is 712201011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83315358736 + 26794743481 = 288644^2 + 163691^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110102217 - 26 = 110110102153 is a prime.

It is a super-2 number, since 2×1101101022172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110110102195 and 110110102204.

It is not a weakly prime, because it can be changed into another prime (110115102217) 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, 55055051108 + 55055051109.

It is an arithmetic number, because the mean of its divisors is an integer number (55055051109).

Almost surely, 2110110102217 is an apocalyptic number.

It is an amenable number.

110110102217 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110102217 is an equidigital number, since it uses as much as digits as its factorization.

110110102217 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 110110102217 its reverse (712201011011), we get a palindrome (822311113228).

The spelling of 110110102217 in words is "one hundred ten billion, one hundred ten million, one hundred two thousand, two hundred seventeen".