Search a number
-
+
11221221212200 = 2352108895152549
BaseRepresentation
bin1010001101001010010011…
…1001111000000000101000
31110201201221012101122021001
42203102210321320000220
52432322030112242300
635510542521524344
72235464215360546
oct243224471700050
943651835348231
1011221221212200
113636990923a0a
1213128b83436b4
1363520612b40c
142ab177bd0d96
15146d52bc516a
hexa34a4e78028

11221221212200 has 48 divisors (see below), whose sum is σ = 26091740317500. Its totient is φ = 4488075409920.

The previous prime is 11221221212189. The next prime is 11221221212213. The reversal of 11221221212200 is 221212212211.

It can be written as a sum of positive squares in 6 ways, for example, as 108745614756 + 11112475597444 = 329766^2 + 3333538^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398475 + ... + 4754074.

Almost surely, 211221221212200 is an apocalyptic number.

11221221212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221221212200 is an abundant number, since it is smaller than the sum of its proper divisors (14870519105300).

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

11221221212200 is a wasteful number, since it uses less digits than its factorization.

11221221212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163454 (or 5163445 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 11221221212200 its reverse (221212212211), we get a palindrome (11442433424411).

The spelling of 11221221212200 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10889 21778 43556 54445 87112 108890 217780 272225 435560 544450 1088900 2177800 5152549 10305098 20610196 25762745 41220392 51525490 103050980 128813725 206101960 257627450 515254900 1030509800 56106106061 112212212122 224424424244 280530530305 448848848488 561061060610 1122122121220 1402652651525 2244244242440 2805305303050 5610610606100 11221221212200