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20111110110020 = 22517232313606947
BaseRepresentation
bin1001001001010011110111…
…00100101111101101000100
32122012121021211201220200202
410210221323210233231010
510114000023142010040
6110434525541230032
74143660025253456
oct444517344575504
978177254656622
1020111110110020
11645408a3a8246
122309802102318
13b2b614791277
144d7550a522d6
1524d209660015
hex124a7b92fb44

20111110110020 has 144 divisors (see below), whose sum is σ = 48254385166848. Its totient is φ = 7008440355840.

The previous prime is 20111110109983. The next prime is 20111110110067. The reversal of 20111110110020 is 2001101111102.

20111110110020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×201111101100203 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20111110109983 and 20111110110010.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3772187 + ... + 7379133.

It is an arithmetic number, because the mean of its divisors is an integer number (335099896992).

Almost surely, 220111110110020 is an apocalyptic number.

20111110110020 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 20111110110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24127192583424).

20111110110020 is an abundant number, since it is smaller than the sum of its proper divisors (28143275056828).

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

20111110110020 is a wasteful number, since it uses less digits than its factorization.

20111110110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607050 (or 3607025 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 20111110110020 its reverse (2001101111102), we get a palindrome (22112211221122).

The spelling of 20111110110020 in words is "twenty trillion, one hundred eleven billion, one hundred ten million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 31 34 46 62 68 85 92 115 124 155 170 230 310 340 391 460 527 529 620 713 782 1054 1058 1426 1564 1955 2108 2116 2635 2645 2852 3565 3910 5270 5290 7130 7820 8993 10540 10580 12121 14260 16399 17986 24242 32798 35972 44965 48484 60605 65596 81995 89930 121210 163990 179860 242420 278783 327980 557566 1115132 1393915 2787830 3606947 5575660 7213894 14427788 18034735 36069470 61318099 72138940 82959781 111815357 122636198 165919562 223630714 245272396 306590495 331839124 414798905 447261428 559076785 613180990 829597810 1118153570 1226361980 1410316277 1659195620 1900861069 1908074963 2236307140 2571753211 2820632554 3801722138 3816149926 5143506422 5641265108 7051581385 7603444276 7632299852 9504305345 9540374815 10287012844 12858766055 14103162770 19008610690 19080749630 25717532110 28206325540 32437274371 38017221380 38161499260 43719804587 51435064220 59150323853 64874548742 87439609174 118300647706 129749097484 162186371855 174879218348 218599022935 236601295412 295751619265 324372743710 437198045870 591503238530 648745487420 874396091740 1005555505501 1183006477060 2011111011002 4022222022004 5027777527505 10055555055010 20111110110020