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2002012012220 = 2251124717601653
BaseRepresentation
bin11101001000100001001…
…101101111111010111100
321002101112122210122212012
4131020201031233322330
5230300110033342340
64131413413230352
7264432503216633
oct35104115577274
97071478718765
102002012012220
11702059652400
122840059323b8
13116a3435614c
146cc7db9451a
1537124964565
hex1d22136febc

2002012012220 has 72 divisors (see below), whose sum is σ = 4719496283712. Its totient is φ = 712514872960.

The previous prime is 2002012012139. The next prime is 2002012012223. The reversal of 2002012012220 is 222102102002.

It is a junction number, because it is equal to n+sod(n) for n = 2002012012195 and 2002012012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002012012223) 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 23 ways as a sum of consecutive naturals, for example, 8687087 + ... + 8914566.

It is an arithmetic number, because the mean of its divisors is an integer number (65548559496).

Almost surely, 22002012012220 is an apocalyptic number.

2002012012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002012012220 is an abundant number, since it is smaller than the sum of its proper divisors (2717484271492).

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

2002012012220 is a wasteful number, since it uses less digits than its factorization.

2002012012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17601731 (or 17601718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2002012012220 its reverse (222102102002), we get a palindrome (2224114114222).

The spelling of 2002012012220 in words is "two trillion, two billion, twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 121 188 220 235 242 470 484 517 605 940 1034 1210 2068 2420 2585 5170 5687 10340 11374 22748 28435 56870 113740 17601653 35203306 70406612 88008265 176016530 193618183 352033060 387236366 774472732 827277691 968090915 1654555382 1936181830 2129800013 3309110764 3872363660 4136388455 4259600026 8272776910 8519200052 9100054601 10649000065 16545553820 18200109202 21298000130 36400218404 42596000260 45500273005 91000546010 100100600611 182001092020 200201201222 400402402444 500503003055 1001006006110 2002012012220