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110120111220 = 22357929282229
BaseRepresentation
bin110011010001110101…
…0111000110001110100
3101112020110102020222210
41212203222320301310
53301011222024340
6122331040053420
710645610333640
oct1464352706164
9345213366883
10110120111220
1142779a28489
1219413004270
13a4cc362632
14548912bc20
152ce7921180
hex19a3ab8c74

110120111220 has 96 divisors (see below), whose sum is σ = 352764921600. Its totient is φ = 25143128064.

The previous prime is 110120111209. The next prime is 110120111237. The reversal of 110120111220 is 22111021011.

110120111220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 110120111196 and 110120111205.

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 249066 + ... + 531294.

It is an arithmetic number, because the mean of its divisors is an integer number (3674634600).

Almost surely, 2110120111220 is an apocalyptic number.

110120111220 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 110120111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176382460800).

110120111220 is an abundant number, since it is smaller than the sum of its proper divisors (242644810380).

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

110120111220 is a wasteful number, since it uses less digits than its factorization.

110120111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283177 (or 283175 counting only the distinct ones).

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

Adding to 110120111220 its reverse (22111021011), we get a palindrome (132231132231).

The spelling of 110120111220 in words is "one hundred ten billion, one hundred twenty million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 929 1858 2787 3716 4645 5574 6503 9290 11148 13006 13935 18580 19509 26012 27870 32515 39018 55740 65030 78036 97545 130060 195090 282229 390180 564458 846687 1128916 1411145 1693374 1975603 2822290 3386748 3951206 4233435 5644580 5926809 7902412 8466870 9878015 11853618 16933740 19756030 23707236 29634045 39512060 59268090 118536180 262190741 524381482 786572223 1048762964 1310953705 1573144446 1835335187 2621907410 3146288892 3670670374 3932861115 5243814820 5506005561 7341340748 7865722230 9176675935 11012011122 15731444460 18353351870 22024022244 27530027805 36706703740 55060055610 110120111220