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22112022021100 = 225211101277718513
BaseRepresentation
bin1010000011100010110110…
…01101111100001111101100
32220021212222211111122111021
411001301123031330033230
510344240410114133400
6115010042255503524
74441353343006444
oct501613315741754
986255884448437
1022112022021100
117055723a76350
12259155b527ba4
13c45201c2c69b
1456632867d124
152852b771d71a
hex141c5b37c3ec

22112022021100 has 144 divisors (see below), whose sum is σ = 53054372490336. Its totient is φ = 7932372480000.

The previous prime is 22112022021079. The next prime is 22112022021143. The reversal of 22112022021100 is 112022021122.

It is a happy number.

It is a super-2 number, since 2×221120220211002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30415444 + ... + 31133956.

It is an arithmetic number, because the mean of its divisors is an integer number (368433142294).

Almost surely, 222112022021100 is an apocalyptic number.

22112022021100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22112022021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26527186245168).

22112022021100 is an abundant number, since it is smaller than the sum of its proper divisors (30942350469236).

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

22112022021100 is a wasteful number, since it uses less digits than its factorization.

22112022021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718916 (or 718909 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22112022021100 its reverse (112022021122), we get a palindrome (22224044042222).

The spelling of 22112022021100 in words is "twenty-two trillion, one hundred twelve billion, twenty-two million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 277 404 505 550 554 1010 1100 1108 1111 1385 2020 2222 2525 2770 3047 4444 5050 5540 5555 6094 6925 10100 11110 12188 13850 15235 22220 27700 27775 27977 30470 55550 55954 60940 76175 111100 111908 139885 152350 279770 304700 307747 559540 615494 699425 718513 1230988 1398850 1437026 1538735 2797700 2874052 3077470 3592565 6154940 7185130 7693675 7903643 14370260 15387350 15807286 17962825 30774700 31614572 35925650 39518215 71851300 72569813 79036430 145139626 158072860 197591075 199028101 290279252 362849065 395182150 398056202 725698130 790364300 796112404 798267943 995140505 1451396260 1596535886 1814245325 1990281010 2189309111 3193071772 3628490650 3980562020 3991339715 4378618222 4975702525 7256981300 7982679430 8757236444 9951405050 10946545555 15965358860 19902810100 19956698575 20101838201 21893091110 39913397150 40203676402 43786182220 54732727775 79826794300 80407352804 100509191005 109465455550 201018382010 218930911100 221120220211 402036764020 442240440422 502545955025 884480880844 1005091910050 1105601101055 2010183820100 2211202202110 4422404404220 5528005505275 11056011010550 22112022021100