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110110121220 = 2235111013494733
BaseRepresentation
bin110011010001100010…
…0110001110100000100
3101112012202121201021210
41212203010301310010
53301001142334340
6122330042011420
710645426405401
oct1464304616404
9345182551253
10110110121220
1142774324890
121940b7a6b70
13a4ca2754a8
145487a8b2a8
152ce6aeb180
hex19a3131d04

110110121220 has 192 divisors, whose sum is σ = 340711660800. Its totient is φ = 26347776000.

The previous prime is 110110121153. The next prime is 110110121299. The reversal of 110110121220 is 22121011011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110110121196 and 110110121205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23261974 + ... + 23266706.

It is an arithmetic number, because the mean of its divisors is an integer number (1774539900).

Almost surely, 2110110121220 is an apocalyptic number.

110110121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110110121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170355830400).

110110121220 is an abundant number, since it is smaller than the sum of its proper divisors (230601539580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110110121220 is a wasteful number, since it uses less digits than its factorization.

110110121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110110121220 its reverse (22121011011), we get a palindrome (132231132231).

The spelling of 110110121220 in words is "one hundred ten billion, one hundred ten million, one hundred twenty-one thousand, two hundred twenty".