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212221220000020 = 2257111011364415713
BaseRepresentation
bin110000010000001110011010…
…011011101001000100010100
31000211102011001201011112111221
4300100032122123221010110
5210304013024310000040
62031205025455540124
762462322445315360
oct6020163233510424
91024364051145457
10212221220000020
1161690572104450
121b975a8922a644
1391554b535015a
143a597c1a242a0
15198056333b74a
hexc1039a6e9114

212221220000020 has 96 divisors (see below), whose sum is σ = 561135064202496. Its totient is φ = 65491954176000.

The previous prime is 212221219999951. The next prime is 212221220000039. The reversal of 212221220000020 is 20000022122212.

It is a junction number, because it is equal to n+sod(n) for n = 212221219999949 and 212221220000003.

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, 682052317 + ... + 682363396.

It is an arithmetic number, because the mean of its divisors is an integer number (5845156918776).

Almost surely, 2212221220000020 is an apocalyptic number.

212221220000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221220000020 is an abundant number, since it is smaller than the sum of its proper divisors (348913844202476).

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

212221220000020 is a wasteful number, since it uses less digits than its factorization.

212221220000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364415841 (or 1364415839 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 212221220000020 its reverse (20000022122212), we get a palindrome (232221242122232).

The spelling of 212221220000020 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 22220 31108 38885 77770 155540 1364415713 2728831426 5457662852 6822078565 9550909991 13644157130 15008572843 19101819982 27288314260 30017145686 38203639964 47754549955 60034291372 75042864215 95509099910 105060009901 137805987013 150085728430 191018199820 210120019802 275611974026 300171456860 420240039604 525300049505 551223948052 689029935065 964641909091 1050600099010 1378059870130 1515865857143 1929283818182 2101200198020 2756119740260 3031731714286 3858567636364 4823209545455 6063463428572 7579329285715 9646419090910 10611061000001 15158658571430 19292838181820 21222122000002 30317317142860 42444244000004 53055305000005 106110610000010 212221220000020