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221222010001212 = 2232111737888142193
BaseRepresentation
bin110010010011001101000011…
…010100101001011100111100
31002000021121200020111120202200
4302103031003110221130330
5212444000134030014322
62102255553254551500
764411522431064263
oct6223150324513474
91060247606446680
10221222010001212
1164540800444120
122098a383668590
1396591b8aa186c
143c8b2b95d15da
151a8975b0678ac
hexc9334352973c

221222010001212 has 144 divisors (see below), whose sum is σ = 663378272680032. Its totient is φ = 61388388311040.

The previous prime is 221222010001133. The next prime is 221222010001303. The reversal of 221222010001212 is 212100010222122.

It is a happy number.

221222010001212 is a `hidden beast` number, since 221 + 2 + 220 + 10 + 0 + 0 + 1 + 212 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443822013 + ... + 444320180.

It is an arithmetic number, because the mean of its divisors is an integer number (4606793560278).

Almost surely, 2221222010001212 is an apocalyptic number.

221222010001212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221222010001212 is an abundant number, since it is smaller than the sum of its proper divisors (442156262678820).

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

221222010001212 is a wasteful number, since it uses less digits than its factorization.

221222010001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888142268 (or 888142263 counting only the distinct ones).

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

Adding to 221222010001212 its reverse (212100010222122), we get a palindrome (433322020223334).

The spelling of 221222010001212 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, ten million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 37 44 51 66 68 74 99 102 111 132 148 153 187 198 204 222 306 333 374 396 407 444 561 612 629 666 748 814 1122 1221 1258 1332 1628 1683 1887 2244 2442 2516 3366 3663 3774 4884 5661 6732 6919 7326 7548 11322 13838 14652 20757 22644 27676 41514 62271 83028 124542 249084 888142193 1776284386 2664426579 3552568772 5328853158 7993279737 9769564123 10657706316 15098417281 15986559474 19539128246 29308692369 30196834562 31973118948 32861261141 39078256492 45295251843 58617384738 60393669124 65722522282 87926077107 90590503686 98583783423 117234769476 131445044564 135885755529 166082590091 175852154214 181181007372 197167566846 271771511058 295751350269 332165180182 351704308428 361473872551 394335133692 498247770273 543543022116 558641439397 591502700538 664330360364 722947745102 996495540546 1084421617653 1117282878794 1183005401076 1445895490204 1494743310819 1675924318191 1992991081092 2168843235306 2234565757588 2989486621638 3253264852959 3351848636382 4337686470612 5027772954573 5978973243276 6145055833367 6506529705918 6703697272764 10055545909146 12290111666734 13013059411836 18435167500101 20111091818292 24580223333468 36870335000202 55305502500303 73740670000404 110611005000606 221222010001212