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111221100220120 = 235116133112519203
BaseRepresentation
bin11001010010011110101110…
…001010111000111011011000
3112120210122002201001010121121
4121102132232022320323120
5104034221303124020440
61032314133523215024
732266313355240412
oct3122365612707330
9476718081033547
10111221100220120
1132490670600a30
1210583489517474
134a0a1491909c7
141d671b69099b2
15ccd1b1a4534a
hex6527ae2b8ed8

111221100220120 has 128 divisors (see below), whose sum is σ = 278310918746880. Its totient is φ = 39660831936000.

The previous prime is 111221100220091. The next prime is 111221100220141. The reversal of 111221100220120 is 21022001122111.

It is a super-2 number, since 2×1112211002201202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111221100220094 and 111221100220103.

It is a congruent number.

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, 2624439 + ... + 15143641.

It is an arithmetic number, because the mean of its divisors is an integer number (2174304052710).

Almost surely, 2111221100220120 is an apocalyptic number.

111221100220120 is a gapful number since it is divisible by the number (10) 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 111221100220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139155459373440).

111221100220120 is an abundant number, since it is smaller than the sum of its proper divisors (167089818526760).

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

111221100220120 is a wasteful number, since it uses less digits than its factorization.

111221100220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12519617 (or 12519613 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111221100220120 its reverse (21022001122111), we get a palindrome (132243101342231).

The spelling of 111221100220120 in words is "one hundred eleven trillion, two hundred twenty-one billion, one hundred million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 331 440 488 610 662 671 1220 1324 1342 1655 2440 2648 2684 3310 3355 3641 5368 6620 6710 7282 13240 13420 14564 18205 20191 26840 29128 36410 40382 72820 80764 100955 145640 161528 201910 222101 403820 444202 807640 888404 1110505 1776808 2221010 4442020 8884040 12519203 25038406 50076812 62596015 100153624 125192030 137711233 250384060 275422466 500768120 550844932 688556165 763671383 1101689864 1377112330 1527342766 2754224660 3054685532 3818356915 4143856193 5508449320 6109371064 7636713830 8287712386 8400385213 15273427660 16575424772 16800770426 20719280965 30546855320 33150849544 33601540852 41438561930 42001926065 45582418123 67203081704 82877123860 84003852130 91164836246 165754247720 168007704260 182329672492 227912090615 252775227773 336015408520 364659344984 455824181230 505550455546 911648362460 1011100911092 1263876138865 1823296724920 2022201822184 2527752277730 2780527505503 5055504555460 5561055011006 10111009110920 11122110022012 13902637527515 22244220044024 27805275055030 55610550110060 111221100220120