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211112202020022 = 23333134734139973
BaseRepresentation
bin110000000000000101100011…
…110011110010010010110110
31000200111010111100011220212000
4300000011203303302102312
5210132330242204120042
62024555335015440130
762316232112113062
oct6000054363622266
91020433440156760
10211112202020022
11612a32003a1626
121b816b61386046
1390a4a4516aa54
143a1bc569c4aa2
1519617a5d0b74c
hexc00163cf24b6

211112202020022 has 128 divisors (see below), whose sum is σ = 472097232299520. Its totient is φ = 69928439391360.

The previous prime is 211112202019981. The next prime is 211112202020051. The reversal of 211112202020022 is 220020202211112.

It is a happy number.

211112202020022 is a `hidden beast` number, since 211 + 11 + 220 + 2 + 0 + 200 + 22 = 666.

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 = 211112202019977 and 211112202020004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21168369828 + ... + 21168379800.

It is an arithmetic number, because the mean of its divisors is an integer number (3688259627340).

Almost surely, 2211112202020022 is an apocalyptic number.

211112202020022 is an abundant number, since it is smaller than the sum of its proper divisors (260985030279498).

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

211112202020022 is a wasteful number, since it uses less digits than its factorization.

211112202020022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14075 (or 14069 counting only the distinct ones).

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

Adding to 211112202020022 its reverse (220020202211112), we get a palindrome (431132404231134).

The spelling of 211112202020022 in words is "two hundred eleven trillion, one hundred twelve billion, two hundred two million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 331 347 662 694 993 1041 1986 2082 2979 3123 3413 5958 6246 6826 8937 9369 9973 10239 17874 18738 19946 20478 29919 30717 59838 61434 89757 92151 114857 179514 184302 229714 269271 344571 538542 689142 1033713 1129703 1184311 2067426 2259406 2368622 3101139 3301063 3389109 3460631 3552933 6202278 6602126 6778218 6921262 7105866 9903189 10167327 10381893 10658799 19806378 20334654 20763786 21317598 29709567 30501981 31145679 31976397 34037849 59419134 61003962 62291358 63952794 68075698 89128701 93437037 102113547 178257402 186874074 204227094 306340641 392006941 612681282 784013882 919021923 1145468861 1176020823 1838043846 2290937722 2352041646 3436406583 3528062469 6872813166 7056124938 10309219749 10584187407 11266528019 11811133603 20618439498 21168374814 22533056038 23622267206 30927659247 33799584057 35433400809 61855318494 67599168114 70866801618 101398752171 106300202427 202797504342 212600404854 304196256513 318900607281 608392513026 637801214562 3909485222593 7818970445186 11728455667779 23456911335558 35185367003337 70370734006674 105556101010011 211112202020022