Search a number
-
+
21131313212200 = 2352556918972269
BaseRepresentation
bin1001100111000000001000…
…11010101110101100101000
32202211010121112212021020111
410303200010122232230220
510232203412140242300
6112535331414304104
74310454432454162
oct463400432565450
982733545767214
1021131313212200
1168078154638a4
122453482058034
13ba389c536a29
14530a9232d932
15269a198b09ba
hex1338046aeb28

21131313212200 has 48 divisors (see below), whose sum is σ = 49139127913500. Its totient is φ = 8451007057920.

The previous prime is 21131313212197. The next prime is 21131313212209. The reversal of 21131313212200 is 221231313112.

It can be written as a sum of positive squares in 6 ways, for example, as 7318182785796 + 13813130426404 = 2705214^2 + 3716602^2 .

It is not an unprimeable number, because it can be changed into a prime (21131313212209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8372335 + ... + 10599934.

Almost surely, 221131313212200 is an apocalyptic number.

21131313212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21131313212200 is an abundant number, since it is smaller than the sum of its proper divisors (28007814701300).

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

21131313212200 is a wasteful number, since it uses less digits than its factorization.

21131313212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18977854 (or 18977845 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 21131313212200 its reverse (221231313112), we get a palindrome (21352544525312).

The spelling of 21131313212200 in words is "twenty-one trillion, one hundred thirty-one billion, three hundred thirteen million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5569 11138 22276 27845 44552 55690 111380 139225 222760 278450 556900 1113800 18972269 37944538 75889076 94861345 151778152 189722690 379445380 474306725 758890760 948613450 1897226900 3794453800 105656566061 211313132122 422626264244 528282830305 845252528488 1056565660610 2113131321220 2641414151525 4226262642440 5282828303050 10565656606100 21131313212200