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201111331212000 = 253253111732935589
BaseRepresentation
bin101101101110100011100001…
…011101010000101011100000
3222101002001111110101000222200
4231232203201131100223200
5202330002001242241000
61551421134202133200
760234546160621536
oct5556434135205340
9871061443330880
10201111331212000
1159097922564660
121a680881ab1200
13882a94279a111
143793ba9d78156
15183b579706500
hexb6e8e1750ae0

201111331212000 has 576 divisors, whose sum is σ = 783130960946880. Its totient is φ = 48472429056000.

The previous prime is 201111331211983. The next prime is 201111331212007. The reversal of 201111331212000 is 212133111102.

201111331212000 is a `hidden beast` number, since 2 + 0 + 1 + 111 + 331 + 21 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201111331212007) 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, 67040206 + ... + 69975794.

It is an arithmetic number, because the mean of its divisors is an integer number (1359602362755).

Almost surely, 2201111331212000 is an apocalyptic number.

201111331212000 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 201111331212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391565480473440).

201111331212000 is an abundant number, since it is smaller than the sum of its proper divisors (582019629734880).

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

201111331212000 is a wasteful number, since it uses less digits than its factorization.

201111331212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935804 (or 2935783 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201111331212000 its reverse (212133111102), we get a palindrome (201323464323102).

The spelling of 201111331212000 in words is "two hundred one trillion, one hundred eleven billion, three hundred thirty-one million, two hundred twelve thousand".