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11321302200 = 233521311811229
BaseRepresentation
bin10101000101100110…
…10101110010111000
31002020000000201222220
422202303111302320
5141141223132300
65111222444040
7550360323645
oct124263256270
932200021886
1011321302200
11488a6419aa
12223b593620
1310b56734b0
1479582adcc
15463da9da0
hex2a2cd5cb8

11321302200 has 192 divisors, whose sum is σ = 37858514400. Its totient is φ = 2782156800.

The previous prime is 11321302159. The next prime is 11321302219. The reversal of 11321302200 is 220312311.

11321302200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11321302200.

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, 9211186 + ... + 9212414.

Almost surely, 211321302200 is an apocalyptic number.

11321302200 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 11321302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18929257200).

11321302200 is an abundant number, since it is smaller than the sum of its proper divisors (26537212200).

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

11321302200 is a wasteful number, since it uses less digits than its factorization.

11321302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11321302200 its reverse (220312311), we get a palindrome (11541614511).

The spelling of 11321302200 in words is "eleven billion, three hundred twenty-one million, three hundred two thousand, two hundred".