Search a number
-
+
21001211212212 = 223272111082313503
BaseRepresentation
bin1001100011001101110011…
…01110111111000110110100
32202100200210111222212221100
410301212321232333012310
510223040440032242322
6112355453453050100
74265200406634600
oct461467156770664
982320714885840
1021001211212212
116767622257660
122432213186930
13b9453749b29a
1452866d4b2500
15266452aeedac
hex1319b9bbf1b4

21001211212212 has 108 divisors (see below), whose sum is σ = 67367521742976. Its totient is φ = 5454860050080.

The previous prime is 21001211212187. The next prime is 21001211212279. The reversal of 21001211212212 is 21221211210012.

21001211212212 is a `hidden beast` number, since 210 + 0 + 1 + 211 + 21 + 221 + 2 = 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 541137348 + ... + 541176155.

It is an arithmetic number, because the mean of its divisors is an integer number (623773349472).

Almost surely, 221001211212212 is an apocalyptic number.

21001211212212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21001211212212 is an abundant number, since it is smaller than the sum of its proper divisors (46366310530764).

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

21001211212212 is a wasteful number, since it uses less digits than its factorization.

21001211212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082313538 (or 1082313526 counting only the distinct ones).

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

Adding to 21001211212212 its reverse (21221211210012), we get a palindrome (42222422422224).

The spelling of 21001211212212 in words is "twenty-one trillion, one billion, two hundred eleven million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 4851 6468 9702 19404 1082313503 2164627006 3246940509 4329254012 6493881018 7576194521 9740821527 11905448533 12987762036 15152389042 19481643054 22728583563 23810897066 30304778084 35716345599 38963286108 45457167126 47621794132 53033361647 68185750689 71432691198 83338139731 90914334252 106066723294 107149036797 136371501378 142865382396 159100084941 166676279462 212133446588 214298073594 250014419193 272743002756 318200169882 333352558924 428596147188 477300254823 500028838386 583366978117 636400339764 750043257579 954600509646 1000057676772 1166733956234 1500086515158 1750100934351 1909201019292 2333467912468 3000173030316 3500201868702 5250302803053 7000403737404 10500605606106 21001211212212