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2200112201000 = 235372192363171
BaseRepresentation
bin100000000001000000111…
…001111111110100101000
321210022212121020221022002
4200001000321333310220
5242021312210413000
64402414555550132
7314644555101500
oct40010071776450
97708777227262
102200112201000
11779075a8728a
122b649115b348
1312c614ba966c
14786b381aa00
153c36b2168d5
hex20040e7fd28

2200112201000 has 192 divisors, whose sum is σ = 6303997627200. Its totient is φ = 714622608000.

The previous prime is 2200112200999. The next prime is 2200112201011. The reversal of 2200112201000 is 1022110022.

It is a happy 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, 250586 + ... + 2112585.

It is an arithmetic number, because the mean of its divisors is an integer number (32833320975).

Almost surely, 22200112201000 is an apocalyptic number.

2200112201000 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 2200112201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151998813600).

2200112201000 is an abundant number, since it is smaller than the sum of its proper divisors (4103885426200).

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

2200112201000 is a wasteful number, since it uses less digits than its factorization.

2200112201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363225 (or 2363204 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2200112201000 its reverse (1022110022), we get a palindrome (2201134311022).

The spelling of 2200112201000 in words is "two trillion, two hundred billion, one hundred twelve million, two hundred one thousand".