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22202100100212 = 22329193467707849
BaseRepresentation
bin1010000110001010101000…
…10010100010110001110100
32220121111111112022012000120
411003011110102202301310
510402224400111201322
6115115300505411540
74451022511026054
oct503052422426164
986544445265016
1022202100100212
11708a94877642a
1225a6aba499bb0
13c50858c8b906
1456a831aa3564
152877da86ea5c
hex1431544a2c74

22202100100212 has 96 divisors (see below), whose sum is σ = 53984378448000. Its totient is φ = 7093248540672.

The previous prime is 22202100100211. The next prime is 22202100100249. The reversal of 22202100100212 is 21200100120222.

It is a junction number, because it is equal to n+sod(n) for n = 22202100100191 and 22202100100200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202100100211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31011664 + ... + 31719512.

It is an arithmetic number, because the mean of its divisors is an integer number (562337275500).

Almost surely, 222202100100212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22202100100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26992189224000).

22202100100212 is an abundant number, since it is smaller than the sum of its proper divisors (31782278347788).

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

22202100100212 is a wasteful number, since it uses less digits than its factorization.

22202100100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708545 (or 708543 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22202100100212 its reverse (21200100120222), we get a palindrome (43402200220434).

The spelling of 22202100100212 in words is "twenty-two trillion, two hundred two billion, one hundred million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 193 348 386 467 579 772 934 1158 1401 1868 2316 2802 5597 5604 11194 13543 16791 22388 27086 33582 40629 54172 67164 81258 90131 162516 180262 270393 360524 540786 707849 1081572 1415698 2123547 2613799 2831396 4247094 5227598 7841397 8494188 10455196 15682794 20527621 31365588 41055242 61582863 82110484 123165726 136614857 246331452 273229714 330565483 409844571 546459428 661130966 819689142 991696449 1322261932 1639378284 1983392898 3961830853 3966785796 7923661706 9586399007 11885492559 15847323412 19172798014 23770985118 28759197021 38345596028 47541970236 57518394042 63799138219 115036788084 127598276438 191397414657 255196552876 382794829314 765589658628 1850175008351 3700350016702 5550525025053 7400700033404 11101050050106 22202100100212