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13310421402300 = 223521126591516909
BaseRepresentation
bin1100000110110001001011…
…1100001000001010111100
31202010110112011010122102120
43001230102330020022330
53221034220334333200
644150420112322540
72542434436110111
oct301542274101274
952113464118376
1013310421402300
114271a10974870
1215ab795243450
1375722389a559
14340329262908
1518137bbe39a0
hexc1b12f082bc

13310421402300 has 144 divisors (see below), whose sum is σ = 42028357929600. Its totient is φ = 3225553171200.

The previous prime is 13310421402287. The next prime is 13310421402307. The reversal of 13310421402300 is 320412401331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310421402307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8016246 + ... + 9533154.

Almost surely, 213310421402300 is an apocalyptic number.

13310421402300 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 13310421402300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21014178964800).

13310421402300 is an abundant number, since it is smaller than the sum of its proper divisors (28717936527300).

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

13310421402300 is a wasteful number, since it uses less digits than its factorization.

13310421402300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519596 (or 1519589 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13310421402300 its reverse (320412401331), we get a palindrome (13630833803631).

The spelling of 13310421402300 in words is "thirteen trillion, three hundred ten billion, four hundred twenty-one million, four hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2659 3300 5318 7977 10636 13295 15954 26590 29249 31908 39885 53180 58498 66475 79770 87747 116996 132950 146245 159540 175494 199425 265900 292490 350988 398850 438735 584980 731225 797700 877470 1462450 1516909 1754940 2193675 2924900 3033818 4387350 4550727 6067636 7584545 8774700 9101454 15169090 16685999 18202908 22753635 30338180 33371998 37922725 45507270 50057997 66743996 75845450 83429995 91014540 100115994 113768175 151690900 166859990 200231988 227536350 250289985 333719980 417149975 455072700 500579970 834299950 1001159940 1251449925 1668599900 2502899850 4033461031 5005799700 8066922062 12100383093 16133844124 20167305155 24200766186 40334610310 44368071341 48401532372 60501915465 80669220620 88736142682 100836525775 121003830930 133104214023 177472285364 201673051550 221840356705 242007661860 266208428046 302509577325 403346103100 443680713410 532416856092 605019154650 665521070115 887361426820 1109201783525 1210038309300 1331042140230 2218403567050 2662084280460 3327605350575 4436807134100 6655210701150 13310421402300