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20321120220 = 22354733721383
BaseRepresentation
bin10010111011001110…
…111010111111011100
31221110012202212101020
4102323032322333130
5313104201321340
613200240044140
71316401446312
oct227316727734
957405685336
1020321120220
118688819435
123b31603650
131bbb08b9bb
14daabd60b2
157de04c9d0
hex4bb3bafdc

20321120220 has 96 divisors (see below), whose sum is σ = 58284914688. Its totient is φ = 5287683072.

The previous prime is 20321120219. The next prime is 20321120227. The reversal of 20321120220 is 2202112302.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20321120220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321120227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 939649 + ... + 961031.

It is an arithmetic number, because the mean of its divisors is an integer number (607134528).

Almost surely, 220321120220 is an apocalyptic number.

20321120220 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 20321120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29142457344).

20321120220 is an abundant number, since it is smaller than the sum of its proper divisors (37963794468).

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

20321120220 is a wasteful number, since it uses less digits than its factorization.

20321120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21779 (or 21777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20321120220 its reverse (2202112302), we get a palindrome (22523232522).

The spelling of 20321120220 in words is "twenty billion, three hundred twenty-one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 337 470 564 674 705 940 1011 1348 1410 1685 2022 2820 3370 4044 5055 6740 10110 15839 20220 21383 31678 42766 47517 63356 64149 79195 85532 95034 106915 128298 158390 190068 213830 237585 256596 316780 320745 427660 475170 641490 950340 1005001 1282980 2010002 3015003 4020004 5025005 6030006 7206071 10050010 12060012 14412142 15075015 20100020 21618213 28824284 30150030 36030355 43236426 60300060 72060710 86472852 108091065 144121420 216182130 338685337 432364260 677370674 1016056011 1354741348 1693426685 2032112022 3386853370 4064224044 5080280055 6773706740 10160560110 20321120220