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21017204625320 = 2356133754746727
BaseRepresentation
bin1001100011101011100110…
…00001000000111110101000
32202102020002010102110012222
410301311303001000332220
510223321213341002240
6112411100455253212
74266304631462261
oct461656301007650
982366063373188
1021017204625320
11677338a103642
12243533737a208
13b95bb5a89337
1452934960b968
15266a8bc43eb5
hex131d73040fa8

21017204625320 has 128 divisors (see below), whose sum is σ = 48295720661760. Its totient is φ = 8229278453760.

The previous prime is 21017204625311. The next prime is 21017204625323. The reversal of 21017204625320 is 2352640271012.

It is not an unprimeable number, because it can be changed into a prime (21017204625323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449763797 + ... + 449810523.

It is an arithmetic number, because the mean of its divisors is an integer number (377310317670).

Almost surely, 221017204625320 is an apocalyptic number.

21017204625320 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 21017204625320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24147860330880).

21017204625320 is an abundant number, since it is smaller than the sum of its proper divisors (27278516036440).

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

21017204625320 is a wasteful number, since it uses less digits than its factorization.

21017204625320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47683 (or 47679 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 21017204625320 its reverse (2352640271012), we get a palindrome (23369844896332).

The spelling of 21017204625320 in words is "twenty-one trillion, seventeen billion, two hundred four million, six hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 337 488 547 610 674 1094 1220 1348 1685 2188 2440 2696 2735 3370 4376 5470 6740 10940 13480 20557 21880 33367 41114 46727 66734 82228 93454 102785 133468 164456 166835 184339 186908 205570 233635 266936 333670 368678 373816 411140 467270 667340 737356 822280 921695 934540 1334680 1474712 1843390 1869080 2850347 3686780 5700694 7373560 11244679 11401388 14251735 15746999 22489358 22802776 25559669 28503470 31493998 44978716 51119338 56223395 57006940 62987996 78734995 89957432 102238676 112446790 114013880 125975992 127798345 157469990 204477352 224893580 255596690 314939980 449787160 511193380 629879960 960566939 1022386760 1559139809 1921133878 3118279618 3842267756 4802834695 6236559236 7684535512 7795699045 8613608453 9605669390 12473118472 15591398090 17227216906 19211338780 31182796180 34454433812 38422677560 43068042265 62365592360 68908867624 86136084530 172272169060 344544338120 525430115633 1050860231266 2101720462532 2627150578165 4203440925064 5254301156330 10508602312660 21017204625320