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212112100020222 = 232374371104319239
BaseRepresentation
bin110000001110101000110010…
…010111111100111111111110
31000211000201101221200012220200
4300032220302113330333332
5210300221040101121342
62031042541544024330
762451410400640443
oct6016506227747776
91024021357605820
10212112100020222
116164926678a566
121b9588b51620a6
13914811527277c
143a543cd6799ca
15197c7c862594c
hexc0ea325fcffe

212112100020222 has 96 divisors (see below), whose sum is σ = 489776328138240. Its totient is φ = 66246888899520.

The previous prime is 212112100020217. The next prime is 212112100020239. The reversal of 212112100020222 is 222020001211212.

It is a happy number.

212112100020222 is a `hidden beast` number, since 2 + 1 + 211 + 210 + 0 + 0 + 20 + 222 = 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 = 212112100020195 and 212112100020204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50126322 + ... + 54192917.

It is an arithmetic number, because the mean of its divisors is an integer number (5101836751440).

Almost surely, 2212112100020222 is an apocalyptic number.

212112100020222 is an abundant number, since it is smaller than the sum of its proper divisors (277664228118018).

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

212112100020222 is a wasteful number, since it uses less digits than its factorization.

212112100020222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104319398 (or 104319395 counting only the distinct ones).

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

Adding to 212112100020222 its reverse (222020001211212), we get a palindrome (434132101231434).

The spelling of 212112100020222 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred million, twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 43 71 74 86 111 129 142 213 222 258 333 387 426 639 666 774 1278 1591 2627 3053 3182 4773 5254 6106 7881 9159 9546 14319 15762 18318 23643 27477 28638 47286 54954 112961 225922 338883 677766 1016649 2033298 104319239 208638478 312957717 625915434 938873151 1877746302 3859811843 4485727277 7406665969 7719623686 8971454554 11579435529 13457181831 14813331938 22219997907 23158871058 26914363662 34738306587 40371545493 44439995814 66659993721 69476613174 80743090986 133319987442 165971909249 274046640853 318486636667 331943818498 497915727747 548093281706 636973273334 822139922559 955459910001 995831455494 1493747183241 1644279845118 1910919820002 2466419767677 2866379730003 2987494366482 4932839535354 5732759460006 11784005556679 23568011113358 35352016670037 70704033340074 106056050010111 212112100020222