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21312203112 = 23334110123827
BaseRepresentation
bin10011110110010011…
…100110100101101000
32001000021200002112000
4103312103212211220
5322121410444422
613442442251000
71353064510644
oct236623464550
961007602460
1021312203112
119047201702
1241694b6a60
1320184c6195
1410626a1c24
1584b06bcac
hex4f64e6968

21312203112 has 128 divisors (see below), whose sum is σ = 61247491200. Its totient is φ = 6861888000.

The previous prime is 21312203057. The next prime is 21312203131. The reversal of 21312203112 is 21130221312.

21312203112 is a `hidden beast` number, since 2 + 131 + 220 + 311 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 882543 + ... + 906369.

It is an arithmetic number, because the mean of its divisors is an integer number (478496025).

Almost surely, 221312203112 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 21312203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30623745600).

21312203112 is an abundant number, since it is smaller than the sum of its proper divisors (39935288088).

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

21312203112 is a wasteful number, since it uses less digits than its factorization.

21312203112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23984 (or 23974 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21312203112 its reverse (21130221312), we get a palindrome (42442424424).

The spelling of 21312203112 in words is "twenty-one billion, three hundred twelve million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 101 108 123 164 202 216 246 303 328 369 404 492 606 738 808 909 984 1107 1212 1476 1818 2214 2424 2727 2952 3636 4141 4428 5454 7272 8282 8856 10908 12423 16564 21816 23827 24846 33128 37269 47654 49692 71481 74538 95308 99384 111807 142962 149076 190616 214443 223614 285924 298152 428886 447228 571848 643329 857772 894456 976907 1286658 1715544 1953814 2406527 2573316 2930721 3907628 4813054 5146632 5861442 7219581 7815256 8792163 9626108 11722884 14439162 17584326 19252216 21658743 23445768 26376489 28878324 35168652 43317486 52752978 57756648 64976229 70337304 86634972 98667607 105505956 129952458 173269944 197335214 211011912 259904916 296002821 394670428 519809832 592005642 789340856 888008463 1184011284 1776016926 2368022568 2664025389 3552033852 5328050778 7104067704 10656101556 21312203112