Search a number
-
+
110120100220 = 225135313036133
BaseRepresentation
bin110011010001110101…
…0110110000101111100
3101112020110101200220101
41212203222312011330
53301011221201340
6122331035530444
710645610256604
oct1464352660574
9345213350811
10110120100220
1142779a20199
1219412bb9a24
13a4cc35a620
145489127c04
152ce791cc9a
hex19a3ab617c

110120100220 has 96 divisors (see below), whose sum is σ = 253975865472. Its totient is φ = 39855449088.

The previous prime is 110120100199. The next prime is 110120100221. The reversal of 110120100220 is 22001021011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110120100197 and 110120100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120100221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17952274 + ... + 17958406.

It is an arithmetic number, because the mean of its divisors is an integer number (2645581932).

Almost surely, 2110120100220 is an apocalyptic number.

110120100220 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 110120100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126987932736).

110120100220 is an abundant number, since it is smaller than the sum of its proper divisors (143855765252).

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

110120100220 is a wasteful number, since it uses less digits than its factorization.

110120100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7511 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110120100220 its reverse (22001021011), we get a palindrome (132121121231).

The spelling of 110120100220 in words is "one hundred ten billion, one hundred twenty million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1303 1378 2606 2756 3445 5212 6133 6515 6890 12266 13030 13780 16939 24532 26060 30665 33878 61330 67756 69059 79729 84695 122660 138118 159458 169390 276236 318916 325049 338780 345295 398645 650098 690590 797290 897767 1300196 1381180 1594580 1625245 1795534 3250490 3591068 4225637 4488835 6500980 7991299 8451274 8977670 15982598 16902548 17955340 21128185 31965196 39956495 42256370 79912990 84512740 103886887 159825980 207773774 415547548 423538847 519434435 847077694 1038868870 1694155388 2077737740 2117694235 4235388470 5506005011 8470776940 11012010022 22024020044 27530025055 55060050110 110120100220