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221101212002022 = 232114789232662669
BaseRepresentation
bin110010010001011100100011…
…001100110110011011100110
31001222212001212121202102011200
4302101130203030312123212
5212440010240233031042
62102124254454343330
764400015102040522
oct6221344314663346
91058761777672150
10221101212002022
11644a4552095440
122096aa9065ab46
13964a9a7485231
143c854da2c0d82
151a8653aed2c4c
hexc917233366e6

221101212002022 has 96 divisors (see below), whose sum is σ = 533782089285120. Its totient is φ = 65567453952960.

The previous prime is 221101212001897. The next prime is 221101212002059. The reversal of 221101212002022 is 220200212101122.

It is a happy number.

221101212002022 is digitally balanced in base 2 and base 4, because in such bases 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 = 221101212001986 and 221101212002004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81706104 + ... + 84368772.

It is an arithmetic number, because the mean of its divisors is an integer number (5560230096720).

Almost surely, 2221101212002022 is an apocalyptic number.

221101212002022 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 221101212002022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266891044642560).

221101212002022 is an abundant number, since it is smaller than the sum of its proper divisors (312680877283098).

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

221101212002022 is a wasteful number, since it uses less digits than its factorization.

221101212002022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671658 (or 2671655 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221101212002022 its reverse (220200212101122), we get a palindrome (441301424103144).

The spelling of 221101212002022 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred twelve million, two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 3102 4653 8923 9306 17846 26769 53538 80307 98153 160614 196306 294459 419381 588918 838762 883377 1258143 1766754 2516286 2662669 3774429 4613191 5325338 7548858 7988007 9226382 13839573 15976014 23964021 27679146 29289359 41518719 47928042 58578718 83037438 87868077 125145443 175736154 250290886 263604231 375436329 527208462 750872658 1126308987 1376599873 2252617974 2753199746 4129799619 8259599238 12389398857 23758995487 24778797714 47517990974 71276986461 142553972922 213830959383 261348950357 427661918766 522697900714 784046851071 1116672787889 1568093702142 2233345575778 2352140553213 3350018363667 4704281106426 6700036727334 10050055091001 12283400666779 20100110182002 24566801333558 36850202000337 73700404000674 110550606001011 221101212002022