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211200221022102 = 2331324111031131787
BaseRepresentation
bin110000000001010111100010…
…001001101000011110010110
31000200210112200112110111201000
4300001113202021220132112
5210140301023040201402
62025104013032244130
762325466235226354
oct6001274211503626
91020715615414630
10211200221022102
1161327568874654
121b830026840646
1390b0131739ac0
143a222067727d4
151963c082cac1c
hexc015e2268796

211200221022102 has 128 divisors (see below), whose sum is σ = 507994261125120. Its totient is φ = 64656308436480.

The previous prime is 211200221021953. The next prime is 211200221022191. The reversal of 211200221022102 is 201220122002112.

It is a happy number.

211200221022102 is a `hidden beast` number, since 21 + 1 + 200 + 221 + 0 + 221 + 0 + 2 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186041853 + ... + 187173639.

It is an arithmetic number, because the mean of its divisors is an integer number (3968705165040).

Almost surely, 2211200221022102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211200221022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253997130562560).

211200221022102 is an abundant number, since it is smaller than the sum of its proper divisors (296794040103018).

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

211200221022102 is a wasteful number, since it uses less digits than its factorization.

211200221022102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133155 (or 1133149 counting only the distinct ones).

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

Adding to 211200221022102 its reverse (201220122002112), we get a palindrome (412420343024214).

The spelling of 211200221022102 in words is "two hundred eleven trillion, two hundred billion, two hundred twenty-one million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 241 351 482 702 723 1103 1446 2169 2206 3133 3309 4338 6266 6507 6618 9399 9927 13014 14339 18798 19854 28197 28678 29781 43017 56394 59562 84591 86034 129051 169182 258102 265823 387153 531646 774306 797469 1131787 1594938 2263574 2392407 3395361 3455699 4784814 6790722 6911398 7177221 10186083 10367097 14354442 14713231 20372166 20734194 29426462 30558249 31101291 44139693 61116498 62202582 88279386 93303873 132419079 186607746 264838158 272760667 397257237 545521334 794514474 818282001 1248361061 1636564002 2454846003 2496722122 3545888671 3745083183 4909692006 7091777342 7364538009 7490166366 10637666013 11235249549 14729076018 16228693793 21275332026 22470499098 31912998039 32457387586 33705748647 48686081379 63825996078 67411497294 95738994117 97372162758 146058244137 191477988234 292116488274 300855015701 438174732411 601710031402 876349464822 902565047103 1805130094206 2707695141309 3911115204113 5415390282618 7822230408226 8123085423927 11733345612339 16246170847854 23466691224678 35200036837017 70400073674034 105600110511051 211200221022102