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22001112221112 = 23324319736072601
BaseRepresentation
bin1010000000010100010000…
…11110101000010110111000
32212220021201100011001011100
411000022020132220112320
510340431234212033422
6114443101005531400
74430346033163053
oct500121036502670
985807640131140
1022001112221112
11701268a310022
122573b67b73b60
13c379080b75bb
14560c0670ba9a
152824758107ac
hex1402887a85b8

22001112221112 has 96 divisors (see below), whose sum is σ = 61281579181680. Its totient is φ = 7126791436800.

The previous prime is 22001112221047. The next prime is 22001112221117. The reversal of 22001112221112 is 21112221110022.

22001112221112 is a `hidden beast` number, since 220 + 0 + 1 + 112 + 221 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001112221117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17426389 + ... + 18646212.

Almost surely, 222001112221112 is an apocalyptic number.

It is an amenable number.

22001112221112 is an abundant number, since it is smaller than the sum of its proper divisors (39280466960568).

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

22001112221112 is a wasteful number, since it uses less digits than its factorization.

22001112221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36072853 (or 36072846 counting only the distinct ones).

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

Adding to 22001112221112 its reverse (21112221110022), we get a palindrome (43113333331134).

The spelling of 22001112221112 in words is "twenty-two trillion, one billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 197 258 344 387 394 516 591 774 788 1032 1182 1548 1576 1773 2364 3096 3546 4728 7092 8471 14184 16942 25413 33884 50826 67768 76239 101652 152478 203304 304956 609912 36072601 72145202 108217803 144290404 216435606 288580808 324653409 432871212 649306818 865742424 1298613636 1551121843 2597227272 3102243686 4653365529 6204487372 7106302397 9306731058 12408974744 13960096587 14212604794 18613462116 21318907191 27920193174 28425209588 37226924232 42637814382 55840386348 56850419176 63956721573 85275628764 111680772696 127913443146 170551257528 255826886292 305571003071 511653772584 611142006142 916713009213 1222284012284 1833426018426 2444568024568 2750139027639 3666852036852 5500278055278 7333704073704 11000556110556 22001112221112