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21300301321020 = 22325197487831863
BaseRepresentation
bin1001101011111010111001…
…11001001101001100111100
32210102021210121210122121200
410311331130321031030330
510242441004114233040
6113145120124055500
74325616215624241
oct465753471151474
983367717718550
1021300301321020
116872452886167
122480183994590
13bb67c094c327
14538d238415c8
1526e10a47b630
hex135f5ce4d33c

21300301321020 has 144 divisors (see below), whose sum is σ = 68020654141440. Its totient is φ = 5380403557248.

The previous prime is 21300301320973. The next prime is 21300301321031. The reversal of 21300301321020 is 2012310300312.

21300301321020 is a `hidden beast` number, since 2 + 1 + 300 + 301 + 32 + 10 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21300301320984 and 21300301321002.

It is a congruent number.

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, 25189609 + ... + 26021471.

It is an arithmetic number, because the mean of its divisors is an integer number (472365653760).

Almost surely, 221300301321020 is an apocalyptic number.

21300301321020 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 21300301321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34010327070720).

21300301321020 is an abundant number, since it is smaller than the sum of its proper divisors (46720352820420).

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

21300301321020 is a wasteful number, since it uses less digits than its factorization.

21300301321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839384 (or 839379 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21300301321020 its reverse (2012310300312), we get a palindrome (23312611621332).

The spelling of 21300301321020 in words is "twenty-one trillion, three hundred billion, three hundred one million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 7487 14974 22461 29948 37435 44922 67383 74870 89844 112305 134766 142253 149740 224610 269532 284506 336915 426759 449220 569012 673830 711265 831863 853518 1280277 1347660 1422530 1663726 1707036 2133795 2495589 2560554 2845060 3327452 4159315 4267590 4991178 5121108 6401385 7486767 8318630 8535180 9982356 12477945 12802770 14973534 15805397 16637260 24955890 25605540 29947068 31610794 37433835 47416191 49911780 63221588 74867670 79026985 94832382 142248573 149735340 158053970 189664764 237080955 284497146 316107940 474161910 568994292 711242865 948323820 1422485730 2844971460 6228158281 12456316562 18684474843 24912633124 31140791405 37368949686 56053424529 62281582810 74737899372 93422374215 112106849058 118335007339 124563165620 186844748430 224213698116 236670014678 280267122645 355005022017 373689496860 473340029356 560534245290 591675036695 710010044034 1065015066051 1121068490580 1183350073390 1420020088068 1775025110085 2130030132102 2366700146780 3550050220170 4260060264204 5325075330255 7100100440340 10650150660510 21300301321020