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110111121221 = 1012775696917
BaseRepresentation
bin110011010001100100…
…0100101111101000101
3101112012211111112000212
41212203020211331011
53301001421334341
6122330115245205
710645441042013
oct1464310457505
9345184445025
10110111121221
1142774948132
121940bba9805
13a4ca5356ca
145487c6b8b3
152ce6c475eb
hex19a3225f45

110111121221 has 16 divisors (see below), whose sum is σ = 111815080560. Its totient is φ = 108420748800.

The previous prime is 110111121217. The next prime is 110111121227. The reversal of 110111121221 is 122121111011.

It can be written as a sum of positive squares in 8 ways, for example, as 3290596 + 110107830625 = 1814^2 + 331825^2 .

It is a cyclic number.

It is not a de Polignac number, because 110111121221 - 22 = 110111121217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110111121196 and 110111121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111121227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15915455 + ... + 15922371.

It is an arithmetic number, because the mean of its divisors is an integer number (6988442535).

Almost surely, 2110111121221 is an apocalyptic number.

It is an amenable number.

110111121221 is a deficient number, since it is larger than the sum of its proper divisors (1703959339).

110111121221 is a wasteful number, since it uses less digits than its factorization.

110111121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7864.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110111121221 its reverse (122121111011), we get a palindrome (232232232232).

The spelling of 110111121221 in words is "one hundred ten billion, one hundred eleven million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 101 277 569 6917 27977 57469 157613 698617 1916009 3935773 15918913 193516909 397513073 1090209121 110111121221