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243212041402300 = 2252435571006110093
BaseRepresentation
bin110111010011001100110111…
…010101010011011110111100
31011220010211210100010122110101
4313103030313111103132330
5223334241230044333200
62221134022552250444
7102141330053664535
oct6723146725233674
91156124710118411
10243212041402300
1170549713935043
12233401586a0a24
13a592a492a5109
14440b7503d168c
151d1b783b7226a
hexdd33375537bc

243212041402300 has 144 divisors (see below), whose sum is σ = 541120793365152. Its totient is φ = 94832957721600.

The previous prime is 243212041402289. The next prime is 243212041402301. The reversal of 243212041402300 is 3204140212342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243212041402301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24097096054 + ... + 24097106146.

It is an arithmetic number, because the mean of its divisors is an integer number (3757783287258).

Almost surely, 2243212041402300 is an apocalyptic number.

243212041402300 is a gapful number since it is divisible by the number (20) 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 243212041402300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270560396682576).

243212041402300 is an abundant number, since it is smaller than the sum of its proper divisors (297908751962852).

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

243212041402300 is a wasteful number, since it uses less digits than its factorization.

243212041402300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20768 (or 20761 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 243212041402300 its reverse (3204140212342), we get a palindrome (246416181614642).

The spelling of 243212041402300 in words is "two hundred forty-three trillion, two hundred twelve billion, forty-one million, four hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 557 860 1075 1114 2150 2228 2785 4300 5570 10061 10093 11140 13925 20122 20186 23951 27850 40244 40372 47902 50305 50465 55700 95804 100610 100930 119755 201220 201860 239510 251525 252325 432623 433999 479020 503050 504650 598775 865246 867998 1006100 1009300 1197550 1730492 1735996 2163115 2169995 2395100 4326230 4339990 5603977 5621801 8652460 8679980 10815575 10849975 11207954 11243602 21631150 21699950 22415908 22487204 28019885 28109005 43262300 43399900 56039770 56218010 101545673 112079540 112436020 140099425 140545025 203091346 240971011 241737443 280198850 281090050 406182692 481942022 483474886 507728365 560397700 562180100 963884044 966949772 1015456730 1204855055 1208687215 2030913460 2409710110 2417374430 2538641825 4366463939 4819420220 4834748860 5077283650 6024275275 6043436075 8732927878 10154567300 12048550550 12086872150 17465855756 21832319695 24097101100 24173744300 43664639390 56560939861 87329278780 109161598475 113121879722 218323196950 226243759444 282804699305 436646393900 565609398610 1131218797220 1414023496525 2432120414023 2828046993050 4864240828046 5656093986100 9728481656092 12160602070115 24321204140230 48642408280460 60803010350575 121606020701150 243212041402300