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111112100220 = 223511234943853
BaseRepresentation
bin110011101111011001…
…1000001100101111100
3101121210121000112002010
41213132303001211330
53310024144201340
6123013313531220
711012314161102
oct1473663014574
9347717015063
10111112100220
114313897a500
121964b273b10
13a629a26384
145540b91c72
152d54a6db80
hex19decc197c

111112100220 has 144 divisors (see below), whose sum is σ = 342955821600. Its totient is φ = 26858472960.

The previous prime is 111112100189. The next prime is 111112100243. The reversal of 111112100220 is 22001211111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111112100196 and 111112100205.

It is a congruent number.

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, 2511814 + ... + 2555666.

It is an arithmetic number, because the mean of its divisors is an integer number (2381637650).

Almost surely, 2111112100220 is an apocalyptic number.

111112100220 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 111112100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171477910800).

111112100220 is an abundant number, since it is smaller than the sum of its proper divisors (231843721380).

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

111112100220 is a wasteful number, since it uses less digits than its factorization.

111112100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44236 (or 44223 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111112100220 its reverse (22001211111), we get a palindrome (133113311331).

The spelling of 111112100220 in words is "one hundred eleven billion, one hundred twelve million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 349 363 484 605 660 698 726 1047 1210 1396 1452 1745 1815 2094 2420 3490 3630 3839 4188 5235 6980 7260 7678 10470 11517 15356 19195 20940 23034 38390 42229 43853 46068 57585 76780 84458 87706 115170 126687 131559 168916 175412 211145 219265 230340 253374 263118 422290 438530 482383 506748 526236 633435 657795 844580 877060 964766 1266870 1315590 1447149 1929532 2411915 2533740 2631180 2894298 4823830 5306213 5788596 7235745 9647660 10612426 14471490 15304697 15918639 21224852 26531065 28942980 30609394 31837278 45914091 53062130 61218788 63674556 76523485 79593195 91828182 106124260 153046970 159186390 168351667 183656364 229570455 306093940 318372780 336703334 459140910 505055001 673406668 841758335 918281820 1010110002 1683516670 1851868337 2020220004 2525275005 3367033340 3703736674 5050550010 5555605011 7407473348 9259341685 10101100020 11111210022 18518683370 22222420044 27778025055 37037366740 55556050110 111112100220