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21220220110020 = 2235617499773153
BaseRepresentation
bin1001101001100101101111…
…01011101000010011000100
32210010122002121212122001220
410310302313223220103010
510240133002322010040
6113044233505520340
74320052556564001
oct464626753502304
983118077778056
1021220220110020
116841499051058
1224687549430b0
13bac09aa51b89
145350c7da68a8
1526bebecba2d0
hex134cb7ae84c4

21220220110020 has 96 divisors (see below), whose sum is σ = 60398790480000. Its totient is φ = 5565209948160.

The previous prime is 21220220109989. The next prime is 21220220110079. The reversal of 21220220110020 is 2001102202212.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 27059764 + ... + 27832916.

It is an arithmetic number, because the mean of its divisors is an integer number (629154067500).

Almost surely, 221220220110020 is an apocalyptic number.

21220220110020 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 21220220110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30199395240000).

21220220110020 is an abundant number, since it is smaller than the sum of its proper divisors (39178570369980).

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

21220220110020 is a wasteful number, since it uses less digits than its factorization.

21220220110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780725 (or 780723 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21220220110020 its reverse (2001102202212), we get a palindrome (23221322312232).

The spelling of 21220220110020 in words is "twenty-one trillion, two hundred twenty billion, two hundred twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 7499 14998 22497 29996 37495 44994 74990 89988 112485 149980 224970 449940 457439 773153 914878 1372317 1546306 1829756 2287195 2319459 2744634 3092612 3865765 4574390 4638918 5489268 6861585 7731530 9148780 9277836 11597295 13723170 15463060 23194590 27446340 46389180 47162333 94324666 141486999 188649332 235811665 282973998 471623330 565947996 707434995 943246660 1414869990 2829739980 5797874347 11595748694 17393623041 23191497388 28989371735 34787246082 57978743470 69574492164 86968115205 115957486940 173936230410 347872460820 353670335167 707340670334 1061011005501 1414681340668 1768351675835 2122022011002 3536703351670 4244044022004 5305055027505 7073406703340 10610110055010 21220220110020