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22021320030330 = 23517277490331793
BaseRepresentation
bin1010000000111001111001…
…11101010011100001111010
32212222012212122201010001210
411000130330331103201322
510341244130411432310
6114500242121223550
74431662560550535
oct500347475234172
985865778633053
1022021320030330
11702020a0761a5
122577a67631bb6
13c397a8851b6a
14561ba2449a1c
15282c59929820
hex14073cf5387a

22021320030330 has 128 divisors (see below), whose sum is σ = 56175303679488. Its totient is φ = 5505670397952.

The previous prime is 22021320030293. The next prime is 22021320030377. The reversal of 22021320030330 is 3303002312022.

It is a junction number, because it is equal to n+sod(n) for n = 22021320030297 and 22021320030306.

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 63 ways as a sum of consecutive naturals, for example, 692630914 + ... + 692662706.

It is an arithmetic number, because the mean of its divisors is an integer number (438869559996).

Almost surely, 222021320030330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22021320030330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28087651839744).

22021320030330 is an abundant number, since it is smaller than the sum of its proper divisors (34153983649158).

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

22021320030330 is a wasteful number, since it uses less digits than its factorization.

22021320030330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37000.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 22021320030330 its reverse (3303002312022), we get a palindrome (25324322342352).

The spelling of 22021320030330 in words is "twenty-two trillion, twenty-one billion, three hundred twenty million, thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 277 510 554 831 1385 1662 2770 4155 4709 4903 8310 9418 9806 14127 14709 23545 24515 28254 29418 31793 47090 49030 63586 70635 73545 83351 95379 141270 147090 158965 166702 190758 250053 317930 416755 476895 500106 540481 833510 953790 1080962 1250265 1358131 1621443 2500530 2702405 2716262 3242886 4074393 5404810 6790655 8107215 8148786 8806661 13581310 16214430 17613322 20371965 23088227 26419983 40743930 44033305 46176454 52839966 69264681 88066610 115441135 132099915 138529362 149713237 155881079 230882270 264199830 299426474 311762158 346323405 449139711 467643237 692646810 748566185 779405395 898279422 935286474 1497132370 1558810790 2245698555 2338216185 2649978343 4491397110 4676432370 5299956686 7949935029 13249891715 15899870058 26499783430 39749675145 43179058883 79499350290 86358117766 129537176649 215895294415 259074353298 431790588830 647685883245 734044001011 1295371766490 1468088002022 2202132003033 3670220005055 4404264006066 7340440010110 11010660015165 22021320030330