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2220110102000 = 245371252712659
BaseRepresentation
bin100000010011101000110…
…111111011110111110000
321212020111021211120021002
4200103220313323313300
5242333241141231000
64415523212221132
7316253253334040
oct40235067736760
97766437746232
102220110102000
117865a830229a
122ba33246a7a8
13131480ccaa8b
147964d717720
153cb3bbba8d5
hex204e8dfbdf0

2220110102000 has 160 divisors (see below), whose sum is σ = 6136090122240. Its totient is φ = 761059718400.

The previous prime is 2220110101981. The next prime is 2220110102083. The reversal of 2220110102000 is 2010110222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 175371671 + ... + 175384329.

It is an arithmetic number, because the mean of its divisors is an integer number (38350563264).

Almost surely, 22220110102000 is an apocalyptic number.

2220110102000 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 2220110102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068045061120).

2220110102000 is an abundant number, since it is smaller than the sum of its proper divisors (3915980020240).

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

2220110102000 is a wasteful number, since it uses less digits than its factorization.

2220110102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25216 (or 25200 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2220110102000 its reverse (2010110222), we get a palindrome (2222120212222).

The spelling of 2220110102000 in words is "two trillion, two hundred twenty billion, one hundred ten million, one hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 12527 12659 14000 25054 25318 50108 50636 62635 63295 87689 88613 100216 101272 125270 126590 175378 177226 200432 202544 250540 253180 313175 316475 350756 354452 438445 443065 501080 506360 626350 632950 701512 708904 876890 886130 1002160 1012720 1252700 1265900 1403024 1417808 1565875 1582375 1753780 1772260 2192225 2215325 2505400 2531800 3131750 3164750 3507560 3544520 4384450 4430650 5010800 5063600 6263500 6329500 7015120 7089040 8768900 8861300 10961125 11076625 12527000 12659000 17537800 17722600 21922250 22153250 25054000 25318000 35075600 35445200 43844500 44306500 87689000 88613000 158579293 175378000 177226000 317158586 634317172 792896465 1110055051 1268634344 1585792930 2220110102 2537268688 3171585860 3964482325 4440220204 5550275255 6343171720 7928964650 8880440408 11100550510 12686343440 15857929300 17760880816 19822411625 22201101020 27751376275 31715858600 39644823250 44402202040 55502752550 63431717200 79289646500 88804404080 111005505100 138756881375 158579293000 222011010200 277513762750 317158586000 444022020400 555027525500 1110055051000 2220110102000