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223111320102 = 23411198379393
BaseRepresentation
bin1100111111001001111…
…0001001001000100110
3210022220000022101120000
43033302132021020212
512123412444220402
6250255041522130
722055622633666
oct3176236111046
9708800271500
10223111320102
1186691584050
12372a7643346
1318068486508
14ab276aa1a6
155c0c422c1c
hex33f2789226

223111320102 has 160 divisors (see below), whose sum is σ = 581011643520. Its totient is φ = 63278599680.

The previous prime is 223111320079. The next prime is 223111320137. The reversal of 223111320102 is 201023111322.

223111320102 is a `hidden beast` number, since 2 + 231 + 11 + 320 + 102 = 666.

223111320102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231113201023 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 79 ways as a sum of consecutive naturals, for example, 2770518 + ... + 2849910.

It is an arithmetic number, because the mean of its divisors is an integer number (3631322772).

Almost surely, 2223111320102 is an apocalyptic number.

223111320102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 223111320102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290505821760).

223111320102 is an abundant number, since it is smaller than the sum of its proper divisors (357900323418).

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

223111320102 is a wasteful number, since it uses less digits than its factorization.

223111320102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79520 (or 79511 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 223111320102 its reverse (201023111322), we get a palindrome (424134431424).

The spelling of 223111320102 in words is "two hundred twenty-three billion, one hundred eleven million, three hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 83 99 114 162 166 171 198 209 249 297 342 418 498 513 594 627 747 891 913 1026 1254 1494 1539 1577 1782 1826 1881 2241 2739 3078 3154 3762 4482 4731 5478 5643 6723 8217 9462 11286 13446 14193 16434 16929 17347 24651 28386 33858 34694 42579 49302 52041 73953 79393 85158 104082 127737 147906 156123 158786 238179 255474 312246 468369 476358 714537 873323 936738 1405107 1429074 1508467 1746646 2143611 2619969 2810214 3016934 4287222 4525401 5239938 6430833 6589619 7859907 9050802 12861666 13179238 13576203 15719814 16593137 19768857 23579721 27152406 33186274 39537714 40728609 47159442 49779411 59306571 70739163 72485809 81457218 99558822 118613142 122185827 125202761 141478326 144971618 149338233 177919713 217457427 244371654 250405522 298676466 355839426 375608283 434914854 448014699 533759139 652372281 751216566 896029398 1067518278 1126824849 1304744562 1344044097 1377230371 1957116843 2253649698 2688088194 2754460742 3380474547 3914233686 4131691113 5871350529 6760949094 8263382226 10141423641 11742701058 12395073339 20282847282 24790146678 37185220017 74370440034 111555660051 223111320102