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22020222101000 = 2353101766928429
BaseRepresentation
bin1010000000110111110111…
…00001000010011000001000
32212222010001010202112011112
411000123323201002120020
510341234403324213000
6114455541140545452
74431623426400434
oct500337341023010
985863033675145
1022020222101000
11701a7a6345692
1225777bb9b2288
13c39662247836
14561ada6c99c4
15282be3352235
hex1406fb842608

22020222101000 has 128 divisors (see below), whose sum is σ = 52046107308000. Its totient is φ = 8719436160000.

The previous prime is 22020222100973. The next prime is 22020222101041. The reversal of 22020222101000 is 10122202022.

It can be written as a sum of positive squares in 16 ways, for example, as 1645488610756 + 20374733490244 = 1282766^2 + 4513838^2 .

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 31 ways as a sum of consecutive naturals, for example, 774554786 + ... + 774583214.

Almost surely, 222020222101000 is an apocalyptic number.

22020222101000 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 22020222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26023053654000).

22020222101000 is an abundant number, since it is smaller than the sum of its proper divisors (30025885207000).

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

22020222101000 is a wasteful number, since it uses less digits than its factorization.

22020222101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36220 (or 36206 counting only the distinct ones).

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

Adding to 22020222101000 its reverse (10122202022), we get a palindrome (22030344303022).

The spelling of 22020222101000 in words is "twenty-two trillion, twenty billion, two hundred twenty-two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 7669 10100 12625 15338 20200 25250 28429 30676 38345 50500 56858 61352 76690 101000 113716 142145 153380 191725 227432 284290 306760 383450 568580 710725 766900 774569 958625 1137160 1421450 1533800 1549138 1917250 2842900 2871329 3098276 3553625 3834500 3872845 5685800 5742658 6196552 7107250 7669000 7745690 11485316 14214500 14356645 15491380 19364225 22970632 28429000 28713290 30982760 38728450 57426580 71783225 77456900 96821125 114853160 143566450 154913800 193642250 218022001 287132900 358916125 387284500 436044002 574265800 717832250 774569000 872088004 1090110005 1435664500 1744176008 2180220010 2871329000 4360440020 5450550025 8720880040 10901100050 21802200100 22020222101 27252750125 43604400200 44040444202 54505500250 88080888404 109011000500 110101110505 176161776808 218022001000 220202221010 440404442020 550505552525 880808884040 1101011105050 2202022210100 2752527762625 4404044420200 5505055525250 11010111050500 22020222101000