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201222112222200 = 2335217157679118503
BaseRepresentation
bin101101110000001010101100…
…100001010001101111111000
3222101110122102222101102221110
4231300022230201101233320
5202333310341212102300
61551544055011440320
760245550344644626
oct5560125441215770
9871418388342843
10201222112222200
115912a900555243
121a69a23a2b60a0
138838218a2b524
1437992b8b82516
15183e3b0174550
hexb702ac851bf8

201222112222200 has 384 divisors, whose sum is σ = 664822690053120. Its totient is φ = 50171029708800.

The previous prime is 201222112222193. The next prime is 201222112222207. The reversal of 201222112222200 is 2222211222102.

It is an interprime number because it is at equal distance from previous prime (201222112222193) and next prime (201222112222207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201222112222207) 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 95 ways as a sum of consecutive naturals, for example, 10875098149 + ... + 10875116651.

It is an arithmetic number, because the mean of its divisors is an integer number (1731309088680).

Almost surely, 2201222112222200 is an apocalyptic number.

201222112222200 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 201222112222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332411345026560).

201222112222200 is an abundant number, since it is smaller than the sum of its proper divisors (463600577830920).

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

201222112222200 is a wasteful number, since it uses less digits than its factorization.

201222112222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25487 (or 25478 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 201222112222200 its reverse (2222211222102), we get a palindrome (203444323444302).

The spelling of 201222112222200 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, two hundred".