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11022310200 = 23352112237489
BaseRepresentation
bin10100100001111101…
…10001101100111000
31001110011102101002010
422100332301230320
5140033202411300
65021422205520
7540100043106
oct122076615470
931404371063
1011022310200
114746896880
1221774238a0
131068739455
14767c3ac76
154479e9a50
hex290fb1b38

11022310200 has 192 divisors, whose sum is σ = 37447603200. Its totient is φ = 2659737600.

The previous prime is 11022310199. The next prime is 11022310253. The reversal of 11022310200 is 201322011.

11022310200 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 (12).

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, 1468056 + ... + 1475544.

It is an arithmetic number, because the mean of its divisors is an integer number (195039600).

Almost surely, 211022310200 is an apocalyptic number.

11022310200 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 11022310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18723801600).

11022310200 is an abundant number, since it is smaller than the sum of its proper divisors (26425293000).

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

11022310200 is a wasteful number, since it uses less digits than its factorization.

11022310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7742 (or 7733 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11022310200 its reverse (201322011), we get a palindrome (11223632211).

The spelling of 11022310200 in words is "eleven billion, twenty-two million, three hundred ten thousand, two hundred".