Search a number
-
+
11112213200 = 24521117532803
BaseRepresentation
bin10100101100101011…
…01110101011010000
31001200102120220210212
422112111232223100
5140224211310300
65034353143252
7542241153014
oct122625565320
931612526725
1011112213200
114792611280
1221a155ab28
1310812561aa
14775b60544
15450857935
hex29656ead0

11112213200 has 240 divisors, whose sum is σ = 31430327616. Its totient is φ = 3730022400.

The previous prime is 11112213197. The next prime is 11112213239. The reversal of 11112213200 is 231221111.

11112213200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3962999 + ... + 3965801.

Almost surely, 211112213200 is an apocalyptic number.

11112213200 is a gapful number since it is divisible by the number (10) 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 11112213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15715163808).

11112213200 is an abundant number, since it is smaller than the sum of its proper divisors (20318114416).

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

11112213200 is a wasteful number, since it uses less digits than its factorization.

11112213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11112213200 its reverse (231221111), we get a palindrome (11343434311).

The spelling of 11112213200 in words is "eleven billion, one hundred twelve million, two hundred thirteen thousand, two hundred".