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201122102110200 = 233527912973271459
BaseRepresentation
bin101101101110101101100011…
…011100111110011111111000
3222101010002022002201100122020
4231232231203130332133320
5202330141031120011300
61551430115043554440
760235410116012235
oct5556554334763770
9871102262640566
10201122102110200
11590a144a442917
121a68298908ba20
13882b96b0bb26b
14379450c64c78c
15183b9aa0dd8a0
hexb6eb6373e7f8

201122102110200 has 192 divisors, whose sum is σ = 631857635904000. Its totient is φ = 52912823408640.

The previous prime is 201122102110183. The next prime is 201122102110201. The reversal of 201122102110200 is 2011201221102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201122102110200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122102110201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59842071 + ... + 63113529.

It is an arithmetic number, because the mean of its divisors is an integer number (3290925187000).

Almost surely, 2201122102110200 is an apocalyptic number.

201122102110200 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 201122102110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315928817952000).

201122102110200 is an abundant number, since it is smaller than the sum of its proper divisors (430735533793800).

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

201122102110200 is a wasteful number, since it uses less digits than its factorization.

201122102110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272854 (or 3272845 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201122102110200 its reverse (2011201221102), we get a palindrome (203133303331302).

The spelling of 201122102110200 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred two million, one hundred ten thousand, two hundred".