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21022101020200 = 2352722473867413
BaseRepresentation
bin1001100011110100101101…
…10111010001111000101000
32202102200201100212002021111
410301322112313101320220
510223411230330121300
6112413230410120104
74266540155241100
oct461722667217050
982380640762244
1021022101020200
116775471a87585
122436283120034
13b964b6311507
14529691a20200
15266c76a329ba
hex131e96dd1e28

21022101020200 has 144 divisors (see below), whose sum is σ = 56879259165180. Its totient is φ = 7204654679040.

The previous prime is 21022101020149. The next prime is 21022101020251. The reversal of 21022101020200 is 202010122012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21022101020149) and next prime (21022101020251).

It can be written as a sum of positive squares in 6 ways, for example, as 12817073048836 + 8205027971364 = 3580094^2 + 2864442^2 .

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 35 ways as a sum of consecutive naturals, for example, 23801694 + ... + 24669106.

Almost surely, 221022101020200 is an apocalyptic number.

21022101020200 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 21022101020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28439629582590).

21022101020200 is an abundant number, since it is smaller than the sum of its proper divisors (35857158144980).

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

21022101020200 is a wasteful number, since it uses less digits than its factorization.

21022101020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869916 (or 869900 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21022101020200 its reverse (202010122012), we get a palindrome (21224111142212).

The spelling of 21022101020200 in words is "twenty-one trillion, twenty-two billion, one hundred one million, twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 2473 4900 4946 9800 9892 12365 17311 19784 24730 34622 49460 61825 69244 86555 98920 121177 123650 138488 173110 242354 247300 346220 432775 484708 494600 605885 692440 865550 867413 969416 1211770 1731100 1734826 2423540 3029425 3462200 3469652 4337065 4847080 6058850 6071891 6939304 8674130 12117700 12143782 17348260 21685325 24235400 24287564 30359455 34696520 42503237 43370650 48575128 60718910 85006474 86741300 121437820 151797275 170012948 173482600 212516185 242875640 303594550 340025896 425032370 607189100 850064740 1062580925 1214378200 1700129480 2125161850 2145112349 4250323700 4290224698 8500647400 8580449396 10725561745 15015786443 17160898792 21451123490 30031572886 42902246980 53627808725 60063145772 75078932215 85804493960 105110505101 107255617450 120126291544 150157864430 210221010202 214511234900 300315728860 375394661075 420442020404 429022469800 525552525505 600631457720 750789322150 840884040808 1051105051010 1501578644300 2102210102020 2627762627525 3003157288600 4204420204040 5255525255050 10511050510100 21022101020200