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13021330303200 = 253526188943513
BaseRepresentation
bin1011110101111100001111…
…0001000110100011100000
31201002211022220020012110010
42331133003301012203200
53201320141024200300
643405525551004520
72512521463236312
oct275370361064340
951084286205403
1013021330303200
11417035154424a
121563755209740
13735ba1b4acbb
14330342c797b2
15178aac0cba50
hexbd7c3c468e0

13021330303200 has 144 divisors (see below), whose sum is σ = 43079257344816. Its totient is φ = 3415430860800.

The previous prime is 13021330303123. The next prime is 13021330303231. The reversal of 13021330303200 is 230303312031.

13021330303200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44325357 + ... + 44618156.

It is an arithmetic number, because the mean of its divisors is an integer number (299161509339).

Almost surely, 213021330303200 is an apocalyptic number.

13021330303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021330303200 is an abundant number, since it is smaller than the sum of its proper divisors (30057927041616).

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

13021330303200 is a wasteful number, since it uses less digits than its factorization.

13021330303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88943597 (or 88943584 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13021330303200 its reverse (230303312031), we get a palindrome (13251633615231).

The spelling of 13021330303200 in words is "thirteen trillion, twenty-one billion, three hundred thirty million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 61 75 80 96 100 120 122 150 160 183 200 240 244 300 305 366 400 480 488 600 610 732 800 915 976 1200 1220 1464 1525 1830 1952 2400 2440 2928 3050 3660 4575 4880 5856 6100 7320 9150 9760 12200 14640 18300 24400 29280 36600 48800 73200 146400 88943513 177887026 266830539 355774052 444717565 533661078 711548104 889435130 1067322156 1334152695 1423096208 1778870260 2134644312 2223587825 2668305390 2846192416 3557740520 4269288624 4447175650 5336610780 5425554293 6670763475 7115481040 8538577248 8894351300 10673221560 10851108586 13341526950 14230962080 16276662879 17788702600 21346443120 21702217172 26683053900 27127771465 32553325758 35577405200 42692886240 43404434344 53366107800 54255542930 65106651516 71154810400 81383314395 86808868688 106732215600 108511085860 130213303032 135638857325 162766628790 173617737376 213464431200 217022171720 260426606064 271277714650 325533257580 406916571975 434044343440 520853212128 542555429300 651066515160 813833143950 868088686880 1085110858600 1302133030320 1627666287900 2170221717200 2604266060640 3255332575800 4340443434400 6510665151600 13021330303200