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11022110220 = 22351121679091
BaseRepresentation
bin10100100001111100…
…00000111000001100
31001110011001012202110
422100332000320030
5140033130011340
65021414024020
7540065251062
oct122076007014
931404035673
1011022110220
11474676a600
122177348010
131068699414
14767bc8032
154479aa680
hex290f80e0c

11022110220 has 144 divisors (see below), whose sum is σ = 34129476864. Its totient is φ = 2655734400.

The previous prime is 11022110213. The next prime is 11022110251. The reversal of 11022110220 is 2201122011.

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 = 11022110196 and 11022110205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1207875 + ... + 1216965.

It is an arithmetic number, because the mean of its divisors is an integer number (237010256).

Almost surely, 211022110220 is an apocalyptic number.

11022110220 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 11022110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064738432).

11022110220 is an abundant number, since it is smaller than the sum of its proper divisors (23107366644).

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

11022110220 is a wasteful number, since it uses less digits than its factorization.

11022110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9292 (or 9279 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11022110220 its reverse (2201122011), we get a palindrome (13223232231).

The spelling of 11022110220 in words is "eleven billion, twenty-two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 167 220 242 330 334 363 484 501 605 660 668 726 835 1002 1210 1452 1670 1815 1837 2004 2420 2505 3340 3630 3674 5010 5511 7260 7348 9091 9185 10020 11022 18182 18370 20207 22044 27273 27555 36364 36740 40414 45455 54546 55110 60621 80828 90910 100001 101035 109092 110220 121242 136365 181820 200002 202070 242484 272730 300003 303105 400004 404140 500005 545460 600006 606210 1000010 1100011 1200012 1212420 1500015 1518197 2000020 2200022 3000030 3036394 3300033 4400044 4554591 5500055 6000060 6072788 6600066 7590985 9109182 11000110 13200132 15181970 16500165 16700167 18218364 22000220 22772955 30363940 33000330 33400334 45545910 50100501 66000660 66800668 83500835 91091820 100201002 167001670 183701837 200402004 250502505 334003340 367403674 501005010 551105511 734807348 918509185 1002010020 1102211022 1837018370 2204422044 2755527555 3674036740 5511055110 11022110220