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133441320012 = 2237111329383069
BaseRepresentation
bin111110001000110111…
…0001111010001001100
3110202102202101102012120
41330101232033101030
54141241434220022
6141145130332540
712432541335210
oct1742156172114
9422382342176
10133441320012
1151657167860
1221a4128a150
13c777b36c70
14665c550940
15371002dd5c
hex1f11b8f44c

133441320012 has 192 divisors, whose sum is σ = 432470707200. Its totient is φ = 30890603520.

The previous prime is 133441319989. The next prime is 133441320043. The reversal of 133441320012 is 210023144331.

It is a happy number.

133441320012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 156814 + ... + 539882.

It is an arithmetic number, because the mean of its divisors is an integer number (2252451600).

Almost surely, 2133441320012 is an apocalyptic number.

133441320012 is a gapful number since it is divisible by the number (12) 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 133441320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216235353600).

133441320012 is an abundant number, since it is smaller than the sum of its proper divisors (299029387188).

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

133441320012 is a wasteful number, since it uses less digits than its factorization.

133441320012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383136 (or 383134 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133441320012 its reverse (210023144331), we get a palindrome (343464464343).

The spelling of 133441320012 in words is "one hundred thirty-three billion, four hundred forty-one million, three hundred twenty thousand, twelve".