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20033241341100 = 223521315713269719
BaseRepresentation
bin1001000111000010110100…
…01110111101110010101100
32121221011022000220121010020
410203201122032331302230
510111211034240403400
6110335051035242140
74135232252532531
oct443413216756254
977834260817106
1020033241341100
116424060520669
1222b66abba9350
13b24185060740
144d3884d72d88
1524b19d3272a0
hex12385a3bdcac

20033241341100 has 144 divisors (see below), whose sum is σ = 62461278055680. Its totient is φ = 4928118969600.

The previous prime is 20033241341039. The next prime is 20033241341101. The reversal of 20033241341100 is 114314233002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20033241341101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4492041 + ... + 7761759.

Almost surely, 220033241341100 is an apocalyptic number.

20033241341100 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 20033241341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31230639027840).

20033241341100 is an abundant number, since it is smaller than the sum of its proper divisors (42428036714580).

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

20033241341100 is a wasteful number, since it uses less digits than its factorization.

20033241341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271320 (or 3271313 counting only the distinct ones).

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

Adding to 20033241341100 its reverse (114314233002), we get a palindrome (20147555574102).

The spelling of 20033241341100 in words is "twenty trillion, thirty-three billion, two hundred forty-one million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1571 1950 3142 3900 4713 6284 7855 9426 15710 18852 20423 23565 31420 39275 40846 47130 61269 78550 81692 94260 102115 117825 122538 157100 204230 235650 245076 306345 408460 471300 510575 612690 1021150 1225380 1531725 2042300 3063450 3269719 6126900 6539438 9809157 13078876 16348595 19618314 32697190 39236628 42506347 49045785 65394380 81742975 85012694 98091570 127519041 163485950 170025388 196183140 212531735 245228925 255038082 326971900 425063470 490457850 510076164 637595205 850126940 980915700 1062658675 1275190410 2125317350 2550380820 3187976025 4250634700 5136728549 6375952050 10273457098 12751904100 15410185647 20546914196 25683642745 30820371294 51367285490 61640742588 66777471137 77050928235 102734570980 128418213725 133554942274 154101856470 200332413411 256836427450 267109884548 308203712940 333887355685 385254641175 400664826822 513672854900 667774711370 770509282350 801329653644 1001662067055 1335549422740 1541018564700 1669436778425 2003324134110 3338873556850 4006648268220 5008310335275 6677747113700 10016620670550 20033241341100