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11112221022120 = 2333523447351893
BaseRepresentation
bin1010000110110100001111…
…1111001001011110101000
31110100022120210022021021000
42201231003333021132220
52424030312040201440
635344514525315000
72224555124140041
oct241550377113650
943308523267230
1011112221022120
1135a4737087899
1212b5758405a60
13627b54b0301a
142a5b977098c8
151440c3772730
hexa1b43fc97a8

11112221022120 has 128 divisors (see below), whose sum is σ = 38651203641600. Its totient is φ = 2834421587712.

The previous prime is 11112221022113. The next prime is 11112221022127. The reversal of 11112221022120 is 2122012221111.

11112221022120 is a `hidden beast` number, since 111 + 122 + 210 + 221 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11112221022113) and next prime (11112221022127).

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

It is a junction number, because it is equal to n+sod(n) for n = 11112221022093 and 11112221022102.

It is not an unprimeable number, because it can be changed into a prime (11112221022127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223651107 + ... + 223700786.

It is an arithmetic number, because the mean of its divisors is an integer number (301962528450).

Almost surely, 211112221022120 is an apocalyptic number.

11112221022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112221022120 is an abundant number, since it is smaller than the sum of its proper divisors (27538982619480).

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

11112221022120 is a wasteful number, since it uses less digits than its factorization.

11112221022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447351936 (or 447351926 counting only the distinct ones).

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

Adding to 11112221022120 its reverse (2122012221111), we get a palindrome (13234233243231).

The spelling of 11112221022120 in words is "eleven trillion, one hundred twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 4140 4968 6210 8280 12420 24840 447351893 894703786 1342055679 1789407572 2236759465 2684111358 3578815144 4026167037 4473518930 5368222716 6710278395 8052334074 8947037860 10289093539 10736445432 12078501111 13420556790 16104668148 17894075720 20130835185 20578187078 24157002222 26841113580 30867280617 32209336296 40261670370 41156374156 48314004444 51445467695 53682227160 60392505555 61734561234 80523340740 82312748312 92601841851 96628008888 102890935390 120785011110 123469122468 154336403085 161046681480 185203683702 205781870780 241570022220 246938244936 277805525553 308672806170 370407367404 411563741560 463009209255 483140044440 555611051106 617345612340 740814734808 926018418510 1111222102212 1234691224680 1389027627765 1852036837020 2222444204424 2778055255530 3704073674040 5556110511060 11112221022120