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111201122201022 = 23274721181338293
BaseRepresentation
bin11001010010001100000111…
…011000110010110110111110
3112120201201112101212121111100
4121102030013120302312332
5104033404344240413042
61032301031301033530
732265005321002650
oct3122140730626676
9476651471777440
10111201122201022
1132483149525547
121057b6329b58a6
134a082b4211029
141d6623d5066d0
15ccc8e2bbc24c
hex652307632dbe

111201122201022 has 144 divisors (see below), whose sum is σ = 281577484517472. Its totient is φ = 31069332673920.

The previous prime is 111201122201017. The next prime is 111201122201033. The reversal of 111201122201022 is 220102221102111.

111201122201022 is digitally balanced in base 4, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 111201122200986 and 111201122201004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 328543308 + ... + 328881600.

It is an arithmetic number, because the mean of its divisors is an integer number (1955399198038).

Almost surely, 2111201122201022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111201122201022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140788742258736).

111201122201022 is an abundant number, since it is smaller than the sum of its proper divisors (170376362316450).

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

111201122201022 is a wasteful number, since it uses less digits than its factorization.

111201122201022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339583 (or 339533 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111201122201022 its reverse (220102221102111), we get a palindrome (331303343303133).

The spelling of 111201122201022 in words is "one hundred eleven trillion, two hundred one billion, one hundred twenty-two million, two hundred one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1181 1974 2209 2362 2961 3543 4418 5922 6627 7086 8267 10629 13254 15463 16534 19881 21258 24801 30926 39762 46389 49602 55507 74403 92778 111014 139167 148806 166521 278334 333042 338293 388549 499563 676586 777098 999126 1014879 1165647 2029758 2331294 2368051 2608829 3044637 3496941 4736102 5217658 6089274 6993882 7104153 7826487 14208306 15652974 15899771 18261803 21312459 23479461 31799542 36523606 42624918 46958922 47699313 54785409 95398626 109570818 111298397 143097939 164356227 222596794 286195878 328712454 333895191 399524033 667790382 747289237 799048066 1001685573 1198572099 1494578474 2003371146 2241867711 2397144198 2796668231 3595716297 4483735422 5231024659 5593336462 6725603133 7191432594 8390004693 10462049318 13451206266 15693073977 16780009386 18777629551 25170014079 31386147954 37555259102 47079221931 50340028158 56332888653 94158443862 112665777306 131443406857 168998665959 262886813714 337997331918 394330220571 788660441142 882548588897 1182990661713 1765097177794 2365981323426 2647645766691 5295291533382 6177840122279 7942937300073 12355680244558 15885874600146 18533520366837 37067040733674 55600561100511 111201122201022