Search a number
-
+
11313232200 = 23335210120743
BaseRepresentation
bin10101000100101001…
…00011100101001000
31002012102211202001000
422202110203211020
5141132141412300
65110333455000
7550231613154
oct124224434510
932172752030
1011313232200
11488602a886
122238941460
1310b3aa924a
1479472a064
15463313c00
hex2a2523948

11313232200 has 192 divisors, whose sum is σ = 39355516800. Its totient is φ = 2986848000.

The previous prime is 11313232193. The next prime is 11313232207. The reversal of 11313232200 is 223231311.

It is an interprime number because it is at equal distance from previous prime (11313232193) and next prime (11313232207).

It is a super-2 number, since 2×113132322002 (a number of 21 digits) contains 22 as substring.

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 (11313232207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535029 + ... + 555771.

It is an arithmetic number, because the mean of its divisors is an integer number (204976650).

Almost surely, 211313232200 is an apocalyptic number.

11313232200 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 11313232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19677758400).

11313232200 is an abundant number, since it is smaller than the sum of its proper divisors (28042284600).

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

11313232200 is a wasteful number, since it uses less digits than its factorization.

11313232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20869 (or 20854 counting only the distinct ones).

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

Adding to 11313232200 its reverse (223231311), we get a palindrome (11536463511).

The spelling of 11313232200 in words is "eleven billion, three hundred thirteen million, two hundred thirty-two thousand, two hundred".