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111202020 = 223253759283
BaseRepresentation
bin1101010000011…
…00111011100100
321202020122111100
412220030323210
5211431431040
615011240100
72520126066
oct650147344
9252218440
10111202020
11578527a6
12312a9030
131a066517
1410aa9736
159b68b30
hex6a0cee4

111202020 has 144 divisors (see below), whose sum is σ = 353545920. Its totient is φ = 28263168.

The previous prime is 111202019. The next prime is 111202027. The reversal of 111202020 is 20202111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111201993 and 111202011.

It is not an unprimeable number, because it can be changed into a prime (111202027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392799 + ... + 393081.

It is an arithmetic number, because the mean of its divisors is an integer number (2455180).

Almost surely, 2111202020 is an apocalyptic number.

111202020 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 111202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176772960).

111202020 is an abundant number, since it is smaller than the sum of its proper divisors (242343900).

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

111202020 is a wasteful number, since it uses less digits than its factorization.

111202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 111202020 is about 10545.2368394456. The cubic root of 111202020 is about 480.8809343332.

Adding to 111202020 its reverse (20202111), we get a palindrome (131404131).

Subtracting from 111202020 its reverse (20202111), we obtain a palindrome (90999909).

The spelling of 111202020 in words is "one hundred eleven million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 59 60 74 90 111 118 148 177 180 185 222 236 283 295 333 354 370 444 531 555 566 590 666 708 740 849 885 1062 1110 1132 1180 1332 1415 1665 1698 1770 2124 2183 2220 2547 2655 2830 3330 3396 3540 4245 4366 5094 5310 5660 6549 6660 8490 8732 10188 10471 10620 10915 12735 13098 16697 16980 19647 20942 21830 25470 26196 31413 32745 33394 39294 41884 43660 50091 50940 52355 62826 65490 66788 78588 83485 94239 98235 100182 104710 125652 130980 150273 157065 166970 188478 196470 200364 209420 250455 300546 314130 333940 376956 392940 471195 500910 601092 617789 628260 751365 942390 1001820 1235578 1502730 1853367 1884780 2471156 3005460 3088945 3706734 5560101 6177890 7413468 9266835 11120202 12355780 18533670 22240404 27800505 37067340 55601010 111202020