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200200011110000 = 2454111995789479
BaseRepresentation
bin101101100001010010110010…
…100010111101011001110000
3222020211221012222211012010022
4231201102302202331121300
5202220034110321010000
61545442340533423012
760111654622563266
oct5541226242753160
9866757188735108
10200200011110000
1158876391082670
121a55412a79aa68
138792a1a99ac05
143761a37398436
1518229dd4aa585
hexb614b28bd670

200200011110000 has 200 divisors, whose sum is σ = 556598184067200. Its totient is φ = 68968424160000.

The previous prime is 200200011109909. The next prime is 200200011110009. The reversal of 200200011110000 is 11110002002.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 200200011110000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200200011110009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45804740 + ... + 49984739.

It is an arithmetic number, because the mean of its divisors is an integer number (2782990920336).

Almost surely, 2200200011110000 is an apocalyptic number.

200200011110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200200011110000 is an abundant number, since it is smaller than the sum of its proper divisors (356398172957200).

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

200200011110000 is a wasteful number, since it uses less digits than its factorization.

200200011110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95789537 (or 95789516 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 200200011110000 its reverse (11110002002), we get a palindrome (200211121112002).

The spelling of 200200011110000 in words is "two hundred trillion, two hundred billion, eleven million, one hundred ten thousand".