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211201112102220 = 2232519283218214527
BaseRepresentation
bin110000000001011000010111…
…010000110101010101001100
31000200210121222122012001211100
4300001120113100311111030
5210140304334144232340
62025104241303223100
762325530305254522
oct6001302720652514
91020717878161740
10211201112102220
11613279858642a9
121b830235147a90
1390b024422c446
143a2228cc4a312
151963c5b644830
hexc0161743554c

211201112102220 has 144 divisors (see below), whose sum is σ = 676744351395840. Its totient is φ = 53167532830848.

The previous prime is 211201112102171. The next prime is 211201112102243. The reversal of 211201112102220 is 22201211102112.

211201112102220 is a `hidden beast` number, since 2 + 1 + 120 + 111 + 210 + 2 + 220 = 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 = 211201112102193 and 211201112102202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108139404 + ... + 110075123.

It is an arithmetic number, because the mean of its divisors is an integer number (4699613551360).

Almost surely, 2211201112102220 is an apocalyptic number.

211201112102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201112102220 is an abundant number, since it is smaller than the sum of its proper divisors (465543239293620).

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

211201112102220 is a wasteful number, since it uses less digits than its factorization.

211201112102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218214844 (or 218214839 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211201112102220 its reverse (22201211102112), we get a palindrome (233402323204332).

The spelling of 211201112102220 in words is "two hundred eleven trillion, two hundred one billion, one hundred twelve million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 283 285 342 380 566 570 684 849 855 1132 1140 1415 1698 1710 2547 2830 3396 3420 4245 5094 5377 5660 8490 10188 10754 12735 16131 16980 21508 25470 26885 32262 48393 50940 53770 64524 80655 96786 107540 161310 193572 241965 322620 483930 967860 218214527 436429054 654643581 872858108 1091072635 1309287162 1963930743 2182145270 2618574324 3273217905 3927861486 4146076013 4364290540 6546435810 7855722972 8292152026 9819653715 12438228039 13092871620 16584304052 19639307430 20730380065 24876456078 37314684117 39278614860 41460760130 49752912156 61754711141 62191140195 74629368234 82921520260 123509422282 124382280390 149258736468 185264133423 186573420585 247018844564 248764560780 308773555705 370528266846 373146841170 555792400269 617547111410 741056533692 746293682340 926320667115 1111584800538 1173339511679 1235094222820 1852641334230 2223169601076 2346679023358 2778962001345 3520018535037 3705282668460 4693358046716 5557924002690 5866697558395 7040037070074 10560055605111 11115848005380 11733395116790 14080074140148 17600092675185 21120111210222 23466790233580 35200185350370 42240222420444 52800278025555 70400370700740 105600556051110 211201112102220