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13331232200 = 235211131924533
BaseRepresentation
bin11000110101001101…
…00111010111001000
31021102002001202121202
430122212213113020
5204300243412300
610042502323332
7651234414116
oct143246472710
937362052552
1013331232200
115721151080
122700729548
131345bb65a0
1490674cab6
1553057ead5
hex31a9a75c8

13331232200 has 192 divisors, whose sum is σ = 38331921600. Its totient is φ = 4239129600.

The previous prime is 13331232197. The next prime is 13331232209. The reversal of 13331232200 is 223213331.

13331232200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13331232209) by changing a digit.

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, 531134 + ... + 555666.

It is an arithmetic number, because the mean of its divisors is an integer number (199645425).

Almost surely, 213331232200 is an apocalyptic number.

13331232200 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 13331232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19165960800).

13331232200 is an abundant number, since it is smaller than the sum of its proper divisors (25000689400).

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

13331232200 is a wasteful number, since it uses less digits than its factorization.

13331232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24592 (or 24583 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13331232200 its reverse (223213331), we get a palindrome (13554445531).

The spelling of 13331232200 in words is "thirteen billion, three hundred thirty-one million, two hundred thirty-two thousand, two hundred".