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2200011100200 = 2333525373310487
BaseRepresentation
bin100000000000111010111…
…000010101000000101000
321210022121120000111002000
4200000322320111000220
5242021110320201300
64402400545011000
7314642216543124
oct40007270250050
97708546014060
102200011100200
11779023a03801
122b6463323a60
1312c5c9c6bac4
14786a4220584
153c3623e5c00
hex2003ae15028

2200011100200 has 384 divisors, whose sum is σ = 7732064044800. Its totient is φ = 574760309760.

The previous prime is 2200011100187. The next prime is 2200011100229. The reversal of 2200011100200 is 20011100022.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209779357 + ... + 209789843.

It is an arithmetic number, because the mean of its divisors is an integer number (20135583450).

Almost surely, 22200011100200 is an apocalyptic number.

2200011100200 is a gapful number since it is divisible by the number (20) 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 2200011100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866032022400).

2200011100200 is an abundant number, since it is smaller than the sum of its proper divisors (5532052944600).

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

2200011100200 is a wasteful number, since it uses less digits than its factorization.

2200011100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11298 (or 11283 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2200011100200 its reverse (20011100022), we get a palindrome (2220022200222).

It can be divided in two parts, 220001 and 1100200, that added together give a square (1320201 = 11492).

The spelling of 2200011100200 in words is "two trillion, two hundred billion, eleven million, one hundred thousand, two hundred".