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212221110020 = 225107491201973
BaseRepresentation
bin1100010110100101011…
…1010010011100000100
3202021210001110101202212
43011221113102130010
511434112101010040
6241254254522552
721222015446243
oct3055127223404
9667701411685
10212221110020
1182003314027
1235168506458
131702121c71a
14a3b321895a
1557c131dd65
hex31695d2704

212221110020 has 48 divisors (see below), whose sum is σ = 450747799488. Its totient is φ = 83923405440.

The previous prime is 212221109983. The next prime is 212221110037. The reversal of 212221110020 is 20011122212.

212221110020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212221109977 and 212221110004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949754 + ... + 1151726.

It is an arithmetic number, because the mean of its divisors is an integer number (9390579156).

Almost surely, 2212221110020 is an apocalyptic number.

212221110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221110020 is an abundant number, since it is smaller than the sum of its proper divisors (238526689468).

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

212221110020 is a wasteful number, since it uses less digits than its factorization.

212221110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202580 (or 202578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212221110020 its reverse (20011122212), we get a palindrome (232232232232).

The spelling of 212221110020 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 107 214 428 491 535 982 1070 1964 2140 2455 4910 9820 52537 105074 201973 210148 262685 403946 525370 807892 1009865 1050740 2019730 4039460 21611111 43222222 86444444 99168743 108055555 198337486 216111110 396674972 432222220 495843715 991687430 1983374860 10611055501 21222111002 42444222004 53055277505 106110555010 212221110020