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22100212012212 = 223217318124181349
BaseRepresentation
bin1010000011001100110110…
…10010010101010010110100
32220020202111202220000221200
411001212123102111102310
510344042213233342322
6115000410334212500
74440454566412605
oct501463322252264
986222452800850
1022100212012212
117050713590924
12258b204354130
13c4406c259549
14565927d99dac
15284d259cb8ac
hex14199b4954b4

22100212012212 has 144 divisors (see below), whose sum is σ = 56732895819600. Its totient is φ = 7253378150400.

The previous prime is 22100212012199. The next prime is 22100212012231. The reversal of 22100212012212 is 21221021200122.

It is a happy number.

22100212012212 is a `hidden beast` number, since 221 + 0 + 0 + 21 + 201 + 221 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2167237399716 + 19932974612496 = 1472154^2 + 4464636^2 .

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271630914 + ... + 271712262.

Almost surely, 222100212012212 is an apocalyptic number.

It is an amenable number.

22100212012212 is an abundant number, since it is smaller than the sum of its proper divisors (34632683807388).

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

22100212012212 is a wasteful number, since it uses less digits than its factorization.

22100212012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81954 (or 81949 counting only the distinct ones).

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

Adding to 22100212012212 its reverse (21221021200122), we get a palindrome (43321233212334).

The spelling of 22100212012212 in words is "twenty-two trillion, one hundred billion, two hundred twelve million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 173 181 241 346 362 482 519 543 692 723 724 964 1038 1086 1446 1557 1629 2076 2169 2172 2892 3114 3258 4338 6228 6516 8676 31313 41693 43621 62626 81349 83386 87242 93939 125079 125252 130863 162698 166772 174484 187878 244047 250158 261726 281817 325396 375237 375756 392589 488094 500316 523452 563634 732141 750474 785178 976188 1127268 1464282 1500948 1570356 2928564 7546433 14073377 14724169 15092866 19605109 22639299 28146754 29448338 30185732 39210218 42220131 44172507 45278598 56293508 58815327 58896676 67917897 78420436 84440262 88345014 90557196 117630654 126660393 132517521 135835794 168880524 176445981 176690028 235261308 253320786 265035042 271671588 352891962 506641572 530070084 705783924 2547281237 3391683857 3548524729 5094562474 6783367714 7097049458 7641843711 10175051571 10189124948 10645574187 13566735428 14194098916 15283687422 20350103142 21291148374 22925531133 30525154713 30567374844 31936722561 40700206284 42582296748 45851062266 61050309426 63873445122 91702124532 122100618852 127746890244 613894778117 1227789556234 1841684334351 2455579112468 3683368668702 5525053003053 7366737337404 11050106006106 22100212012212