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133201110 = 23572313779
BaseRepresentation
bin1111111000001…
…11110011010110
3100021122022120110
413330013303112
5233044413420
621114543450
73205122300
oct774076326
9307568513
10133201110
1169208a69
1238737b86
1321799833
1413994970
15ba61ee0
hex7f07cd6

133201110 has 192 divisors, whose sum is σ = 399237120. Its totient is φ = 28304640.

The previous prime is 133201099. The next prime is 133201151. The reversal of 133201110 is 11102331.

133201110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 1686051 + ... + 1686129.

It is an arithmetic number, because the mean of its divisors is an integer number (2079360).

Almost surely, 2133201110 is an apocalyptic number.

133201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199618560).

133201110 is an abundant number, since it is smaller than the sum of its proper divisors (266036010).

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

133201110 is a wasteful number, since it uses less digits than its factorization.

133201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 133201110 is about 11541.2785253628. The cubic root of 133201110 is about 510.7040257633.

Adding to 133201110 its reverse (11102331), we get a palindrome (144303441).

The spelling of 133201110 in words is "one hundred thirty-three million, two hundred one thousand, one hundred ten".