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13320303022000 = 2453131315938933
BaseRepresentation
bin1100000111010101111111…
…1011100000111110110000
31202011102000211010221022101
43001311133323200332300
53221214440033201000
644155132425550144
72543234345355022
oct301653773407660
952142024127271
1013320303022000
114276121883a17
1215b1692645354
13758139baa0c0
143409c57ac012
151817594bae6a
hexc1d5fee0fb0

13320303022000 has 160 divisors (see below), whose sum is σ = 34689595973760. Its totient is φ = 4917765657600.

The previous prime is 13320303021959. The next prime is 13320303022009. The reversal of 13320303022000 is 22030302331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13320303022009) 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, 342114534 + ... + 342153466.

It is an arithmetic number, because the mean of its divisors is an integer number (216809974836).

Almost surely, 213320303022000 is an apocalyptic number.

13320303022000 is a gapful number since it is divisible by the number (10) 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 13320303022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17344797986880).

13320303022000 is an abundant number, since it is smaller than the sum of its proper divisors (21369292951760).

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

13320303022000 is a wasteful number, since it uses less digits than its factorization.

13320303022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52128 (or 52112 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 13320303022000 its reverse (22030302331), we get a palindrome (13342333324331).

The spelling of 13320303022000 in words is "thirteen trillion, three hundred twenty billion, three hundred three million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 13159 26000 26318 38933 52636 65795 77866 105272 131590 155732 171067 194665 210544 263180 311464 328975 342134 389330 506129 526360 622928 657950 684268 778660 855335 973325 1012258 1052720 1315900 1368536 1557320 1644875 1710670 1946650 2024516 2530645 2631800 2737072 3114640 3289750 3421340 3893300 4049032 4276675 4866625 5061290 5263600 6579500 6842680 7786600 8098064 8553350 9733250 10122580 12653225 13159000 13685360 15573200 17106700 19466500 20245160 21383375 25306450 26318000 34213400 38933000 40490320 42766750 50612900 63266125 68426800 77866000 85533500 101225800 126532250 171067000 202451600 253064500 342134000 506129000 512319347 1012258000 1024638694 2049277388 2561596735 4098554776 5123193470 6660151511 8197109552 10246386940 12807983675 13320303022 20492773880 25615967350 26640606044 33300757555 40985547760 51231934700 53281212088 64039918375 66601515110 102463869400 106562424176 128079836750 133203030220 166503787775 204927738800 256159673500 266406060440 333007575550 512319347000 532812120880 666015151100 832518938875 1024638694000 1332030302200 1665037877750 2664060604400 3330075755500 6660151511000 13320303022000