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13334204201200 = 2452100942897703
BaseRepresentation
bin1100001000001001110010…
…0000010011100011110000
31202012201220121200000020021
43002002130200103203300
53221431422233414300
644205352052253224
72544236003422201
oct302023440234360
952181817600207
1013334204201200
114281005716673
1215b4312011214
13759543b9911c
14341543abd5a8
15181cbeacdd1a
hexc209c8138f0

13334204201200 has 120 divisors (see below), whose sum is σ = 32078815797600. Its totient is φ = 5326461665280.

The previous prime is 13334204201191. The next prime is 13334204201207. The reversal of 13334204201200 is 210240243331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13334204201207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1731036549 + ... + 1731044251.

It is an arithmetic number, because the mean of its divisors is an integer number (267323464980).

Almost surely, 213334204201200 is an apocalyptic number.

13334204201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13334204201200 is an abundant number, since it is smaller than the sum of its proper divisors (18744611596400).

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

13334204201200 is a wasteful number, since it uses less digits than its factorization.

13334204201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13019 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 13334204201200 its reverse (210240243331), we get a palindrome (13544444444531).

The spelling of 13334204201200 in words is "thirteen trillion, three hundred thirty-four billion, two hundred four million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1009 2018 4036 4289 5045 7703 8072 8578 10090 15406 16144 17156 20180 21445 25225 30812 34312 38515 40360 42890 50450 61624 68624 77030 80720 85780 100900 107225 123248 154060 171560 192575 201800 214450 308120 343120 385150 403600 428900 616240 770300 857800 1540600 1715600 3081200 4327601 7772327 8655202 15544654 17310404 21638005 31089308 33038167 34620808 38861635 43276010 62178616 66076334 69241616 77723270 86552020 108190025 124357232 132152668 155446540 165190835 173104040 194308175 216380050 264305336 310893080 330381670 346208080 388616350 432760100 528610672 621786160 660763340 777232700 825954175 865520200 1321526680 1554465400 1651908350 1731040400 2643053360 3108930800 3303816700 6607633400 13215266800 33335510503 66671021006 133342042012 166677552515 266684084024 333355105030 533368168048 666710210060 833387762575 1333420420120 1666775525150 2666840840240 3333551050300 6667102100600 13334204201200