Search a number
11331132003200 = 275231593315849

11331132003200 has 384 divisors, whose sum is σ = 29477934720000. Its totient is φ = 4298139648000.

The previous prime is 11331132003049. The next prime is 11331132003277. The reversal of 11331132003200 is 230023113311.

Adding to 11331132003200 its reverse (230023113311), we get a palindrome (11561155116511).

It can be divided in two parts, 1133113 and 2003200, that added together give a palindrome (3136313).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1937273876 + ... + 1937279724.

It is an arithmetic number, because the mean of its divisors is an integer number (76765455000).

Almost surely, 211331132003200 is an apocalyptic number.

11331132003200 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 11331132003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738967360000).

11331132003200 is an abundant number, since it is smaller than the sum of its proper divisors (18146802716800).

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

11331132003200 is a wasteful number, since it uses less digits than its factorization.

11331132003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The spelling of 11331132003200 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, three thousand, two hundred".