Search a number
-
+
200113312200300 = 2232521713079301451
BaseRepresentation
bin101101100000000010000010…
…111000110111011001101100
3222020112122102210112020120200
4231200002002320313121230
5202212124030410402200
61545334441515113500
760102465266162562
oct5540020270673154
9866478383466520
10200113312200300
1158842640880584
121a53b373442890
1387877b1a50305
14375b770a7ba32
151820616d49800
hexb60082e3766c

200113312200300 has 108 divisors (see below), whose sum is σ = 664140769129656. Its totient is φ = 50224517568000.

The previous prime is 200113312200289. The next prime is 200113312200301. The reversal of 200113312200300 is 3002213311002.

200113312200300 is a `hidden beast` number, since 2 + 0 + 0 + 11 + 331 + 2 + 20 + 0 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200113312200301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6539635426 + ... + 6539666025.

Almost surely, 2200113312200300 is an apocalyptic number.

200113312200300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200113312200300 is an abundant number, since it is smaller than the sum of its proper divisors (464027456929356).

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

200113312200300 is a wasteful number, since it uses less digits than its factorization.

200113312200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13079301488 (or 13079301478 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 200113312200300 its reverse (3002213311002), we get a palindrome (203115525511302).

The spelling of 200113312200300 in words is "two hundred trillion, one hundred thirteen billion, three hundred twelve million, two hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 13079301451 26158602902 39237904353 52317205804 65396507255 78475808706 117713713059 130793014510 156951617412 196189521765 222348124667 235427426118 261586029020 326982536275 392379043530 444696249334 470854852236 588568565295 653965072550 667044374001 784758087060 889392498668 980947608825 1111740623335 1177137130590 1307930145100 1334088748002 1961895217650 2001133122003 2223481246670 2354274261180 2668177496004 2942842826475 3335221870005 3923790435300 4002266244006 4446962493340 5558703116675 5885685652950 6670443740010 8004532488012 10005665610015 11117406233350 11771371305900 13340887480020 16676109350025 20011331220030 22234812466700 33352218700050 40022662440060 50028328050075 66704437400100 100056656100150 200113312200300