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212122242221212 = 224753101304169313
BaseRepresentation
bin110000001110110010001110…
…111001011000010010011100
31000211001200120210000102010101
4300032302032321120102130
5210300402323002034322
62031051340210350444
762452216623140521
oct6016621671302234
91024050523012111
10212122242221212
11616525a079a254
121b95a86588b424
13914907055b02b
143a54ab2657148
15197cbbdc22327
hexc0ec8ee5849c

212122242221212 has 96 divisors (see below), whose sum is σ = 390223464793344. Its totient is φ = 100802936832000.

The previous prime is 212122242221171. The next prime is 212122242221291.

212122242221212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3060318268 + ... + 3060387580.

It is an arithmetic number, because the mean of its divisors is an integer number (4064827758264).

Almost surely, 2212122242221212 is an apocalyptic number.

It is an amenable number.

212122242221212 is a deficient number, since it is larger than the sum of its proper divisors (178101222572132).

212122242221212 is a wasteful number, since it uses less digits than its factorization.

212122242221212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72559 (or 72557 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The spelling of 212122242221212 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred forty-two million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 47 53 94 101 106 188 202 212 404 2491 3041 4747 4982 5353 6082 9494 9964 10706 12164 18988 21412 69313 138626 142927 161173 251591 277252 285854 307141 322346 503182 571708 614282 644692 1006364 1228564 3257711 3673589 6515422 7000613 7347178 7575131 13030844 14001226 14435627 14694356 15150262 16278473 28002452 28871254 30300524 32556946 57742508 65113892 172658683 210780833 329028811 345317366 371032489 421561666 658057622 690634732 742064978 765088231 843123332 1316115244 1484129956 1530176462 3060352924 9906699151 11171384149 17438526983 19813398302 21288864133 22342768298 34877053966 39626796604 42577728266 44685536596 69754107932 85155456532 525055055003 1000576614251 1050110110006 1128309799049 2001153228502 2100220220012 2256619598098 4002306457004 4513239196196 53030560555303 106061121110606 212122242221212