201343104000 has 1408 divisors, whose sum is σ = 827708544000. Its totient is φ = 48011673600.

The previous prime is 201343103989. The next prime is 201343104019. The reversal of 201343104000 is 401343102.

201343104000 is a `hidden beast` number, since 201 + 34 + 31 + 0 + 400 + 0 = 666.

201343104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1351295926 + ... + 1351296074.

Almost surely, 2^201343104000 is an apocalyptic number.

201343104000 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 201343104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413854272000).

201343104000 is an abundant number, since it is smaller than the sum of its proper divisors (626365440000).

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

201343104000 is a wasteful number, since it uses less digits than its factorization.

201343104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201343104000 its reverse (401343102), we get a palindrome (201744447102).

The spelling of 201343104000 in words is "two hundred one billion, three hundred forty-three million, one hundred four thousand".