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110003020200 = 233252376127077
BaseRepresentation
bin110011001110010110…
…0001110000110101000
3101111221022002102022100
41212130230032012220
53300241233121300
6122311254253400
710642656146463
oct1463454160650
9344838072270
10110003020200
1142719923247
121939b957260
13a4b10167c8
14547776c2da
152cdc4e2700
hex199cb0e1a8

110003020200 has 288 divisors, whose sum is σ = 385645417560. Its totient is φ = 28072396800.

The previous prime is 110003020187. The next prime is 110003020243. The reversal of 110003020200 is 2020300011.

It is a happy number.

110003020200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 13715688996 + 96287331204 = 117114^2 + 310302^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 4049062 + ... + 4076138.

Almost surely, 2110003020200 is an apocalyptic number.

110003020200 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 110003020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192822708780).

110003020200 is an abundant number, since it is smaller than the sum of its proper divisors (275642397360).

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

110003020200 is a wasteful number, since it uses less digits than its factorization.

110003020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27197 (or 27185 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 110003020200 its reverse (2020300011), we get a palindrome (112023320211).

The spelling of 110003020200 in words is "one hundred ten billion, three million, twenty thousand, two hundred".