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20211200200020 = 2235619756929751
BaseRepresentation
bin1001001100001110010010…
…11010001000110101010100
32122120011122021220022012010
410212013021122020311110
510122120014222400040
6110552521443224220
74154132245061154
oct446071132106524
978504567808163
1020211200200020
116492581676295
122325096078070
13b37ba5b548ab
144dc327a44764
15250b16742e80
hex1261c9688d54

20211200200020 has 96 divisors (see below), whose sum is σ = 58112069089536. Its totient is φ = 5246645760000.

The previous prime is 20211200200013. The next prime is 20211200200039. The reversal of 20211200200020 is 2000200211202.

It is a super-2 number, since 2×202112002000202 (a number of 27 digits) contains 22 as substring.

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 = 20211200199969 and 20211200200005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28109856 + ... + 28819895.

It is an arithmetic number, because the mean of its divisors is an integer number (605334053016).

Almost surely, 220211200200020 is an apocalyptic number.

20211200200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211200200020 is an abundant number, since it is smaller than the sum of its proper divisors (37900868889516).

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

20211200200020 is a wasteful number, since it uses less digits than its factorization.

20211200200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56929921 (or 56929919 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20211200200020 its reverse (2000200211202), we get a palindrome (22211400411222).

The spelling of 20211200200020 in words is "twenty trillion, two hundred eleven billion, two hundred million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 97 122 183 194 244 291 305 366 388 485 582 610 732 915 970 1164 1220 1455 1830 1940 2910 3660 5820 5917 11834 17751 23668 29585 35502 59170 71004 88755 118340 177510 355020 56929751 113859502 170789253 227719004 284648755 341578506 569297510 683157012 853946265 1138595020 1707892530 3415785060 3472714811 5522185847 6945429622 10418144433 11044371694 13890859244 16566557541 17363574055 20836288866 22088743388 27610929235 33133115082 34727148110 41672577732 52090722165 55221858470 66266230164 69454296220 82832787705 104181444330 110443716940 165665575410 208362888660 331331150820 336853336667 673706673334 1010560010001 1347413346668 1684266683335 2021120020002 3368533366670 4042240040004 5052800050005 6737066733340 10105600100010 20211200200020