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21011010222020 = 225721311171476469
BaseRepresentation
bin1001100011100000000011…
…10011001111011111000100
32202101122002102120011100112
410301300001303033133010
510223221022104101040
6112404154055532152
74265665264066400
oct461600163173704
982348072504315
1021011010222020
1167707a0572775
1224340a898a058
13b95439645840
14528d1ca76100
1526682800a365
hex131c01ccf7c4

21011010222020 has 144 divisors (see below), whose sum is σ = 55324642005360. Its totient is φ = 6643680777216.

The previous prime is 21011010222017. The next prime is 21011010222053. The reversal of 21011010222020 is 2022201011012.

It can be written as a sum of positive squares in 8 ways, for example, as 7054166017024 + 13956844204996 = 2655968^2 + 3735886^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21011010221986 and 21011010222004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13492346 + ... + 14968814.

It is an arithmetic number, because the mean of its divisors is an integer number (384198902815).

Almost surely, 221011010222020 is an apocalyptic number.

21011010222020 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 21011010222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27662321002680).

21011010222020 is an abundant number, since it is smaller than the sum of its proper divisors (34313631783340).

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

21011010222020 is a wasteful number, since it uses less digits than its factorization.

21011010222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477622 (or 1477613 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21011010222020 its reverse (2022201011012), we get a palindrome (23033211233032).

The spelling of 21011010222020 in words is "twenty-one trillion, eleven billion, ten million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1117 1274 1820 2234 2548 3185 4468 5585 6370 7819 11170 12740 14521 15638 22340 29042 31276 39095 54733 58084 72605 78190 101647 109466 145210 156380 203294 218932 273665 290420 406588 508235 547330 711529 1016470 1094660 1423058 1476469 2032940 2846116 2952938 3557645 5905876 7115290 7382345 10335283 14230580 14764690 19194097 20670566 29529380 38388194 41341132 51676415 72346981 76776388 95970485 103352830 134358679 144693962 191940970 206705660 268717358 289387924 361734905 383881940 537434716 671793395 723469810 940510753 1343586790 1446939620 1649215873 1881021506 2687173580 3298431746 3762043012 4702553765 6596863492 8246079365 9405107530 11544511111 16492158730 18810215060 21439806349 23089022222 32984317460 42879612698 46178044444 57722555555 80811577777 85759225396 107199031745 115445111110 150078644443 161623155554 214398063490 230890222220 300157288886 323246311108 404057888885 428796126980 600314577772 750393222215 808115777770 1050550511101 1500786444430 1616231555540 2101101022202 3001572888860 4202202044404 5252752555505 10505505111010 21011010222020