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21505322300 = 22527113138923
BaseRepresentation
bin10100000001110100…
…010010110100111100
32001111202001120020112
4110001310102310330
5323020330303200
613513541405152
71360631136440
oct240164226474
961452046215
1021505322300
119136214a40
1242021097b8
1320495115a7
1410801b2820
1585ceb7535
hex501d12d3c

21505322300 has 144 divisors (see below), whose sum is σ = 58374097152. Its totient is φ = 6680793600.

The previous prime is 21505322221. The next prime is 21505322317. The reversal of 21505322300 is 322350512.

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, 2405639 + ... + 2414561.

Almost surely, 221505322300 is an apocalyptic number.

21505322300 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 21505322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29187048576).

21505322300 is an abundant number, since it is smaller than the sum of its proper divisors (36868774852).

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

21505322300 is a wasteful number, since it uses less digits than its factorization.

21505322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9268 (or 9261 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

Adding to 21505322300 its reverse (322350512), we get a palindrome (21827672812).

The spelling of 21505322300 in words is "twenty-one billion, five hundred five million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 313 350 385 550 626 700 770 1100 1252 1540 1565 1925 2191 3130 3443 3850 4382 6260 6886 7700 7825 8764 8923 10955 13772 15650 17215 17846 21910 24101 31300 34430 35692 43820 44615 48202 54775 62461 68860 86075 89230 96404 98153 109550 120505 124922 172150 178460 196306 219100 223075 241010 249844 312305 344300 392612 446150 482020 490765 602525 624610 687071 892300 981530 1205050 1249220 1374142 1561525 1963060 2410100 2453825 2748284 2792899 3123050 3435355 4907650 5585798 6246100 6870710 9815300 11171596 13741420 13964495 17176775 19550293 27928990 30721889 34353550 39100586 55857980 61443778 68707100 69822475 78201172 97751465 122887556 139644950 153609445 195502930 215053223 279289900 307218890 391005860 430106446 488757325 614437780 768047225 860212892 977514650 1075266115 1536094450 1955029300 2150532230 3072188900 4301064460 5376330575 10752661150 21505322300