Search a number
-
+
13222301200300 = 22522937202760793
BaseRepresentation
bin1100000001101000111010…
…0100001110111110101100
31201211001001220102120101101
43000122032210032332230
53213113233101402200
644042124042452444
72533164643543153
oct300321644167654
951731056376341
1013222301200300
114238601360845
1215966a1b04124
1374bb1c3577aa
14339d69c9059a
1517de208d426a
hexc068e90efac

13222301200300 has 144 divisors (see below), whose sum is σ = 30499537592160. Its totient is φ = 4965996349440.

The previous prime is 13222301200289. The next prime is 13222301200357. The reversal of 13222301200300 is 300210322231.

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, 217466704 + ... + 217527496.

It is an arithmetic number, because the mean of its divisors is an integer number (211802344390).

Almost surely, 213222301200300 is an apocalyptic number.

13222301200300 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 13222301200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249768796080).

13222301200300 is an abundant number, since it is smaller than the sum of its proper divisors (17277236391860).

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

13222301200300 is a wasteful number, since it uses less digits than its factorization.

13222301200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62900 (or 62893 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13222301200300 its reverse (300210322231), we get a palindrome (13522511522531).

The spelling of 13222301200300 in words is "thirteen trillion, two hundred twenty-two billion, three hundred one million, two hundred thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 37 50 58 74 100 116 145 148 185 290 370 580 725 740 925 1073 1450 1850 2027 2146 2900 3700 4054 4292 5365 8108 10135 10730 20270 21460 26825 40540 50675 53650 58783 60793 74999 101350 107300 117566 121586 149998 202700 235132 243172 293915 299996 303965 374995 587830 607930 749990 1175660 1215860 1469575 1499980 1519825 1762997 1874975 2174971 2249341 2939150 3039650 3525994 3749950 4349942 4498682 5878300 6079300 7051988 7499900 8699884 8814985 8997364 10874855 11246705 17629970 21749710 22493410 35259940 43499420 44074925 44986820 54374275 56233525 65230889 88149850 108748550 112467050 123227411 130461778 176299700 217497100 224934100 246454822 260923556 326154445 492909644 616137055 652308890 1232274110 1304617780 1630772225 2464548220 3080685275 3261544450 3573594919 4559414207 6161370550 6523088900 7147189838 9118828414 12322741100 14294379676 17867974595 18237656828 22797071035 35735949190 45594142070 71471898380 89339872975 91188284140 113985355175 132223012003 178679745950 227970710350 264446024006 357359491900 455941420700 528892048012 661115060015 1322230120030 2644460240060 3305575300075 6611150600150 13222301200300