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13340142012 = 22317491133183
BaseRepresentation
bin11000110110010001…
…00110100110111100
31021102200211102120210
430123020212212330
5204310034021022
610043421312420
7651403223211
oct143310464674
937380742523
1013340142012
11572618715a
122703705710
1313479b5b72
149079cbb08
1553123ea0c
hex31b2269bc

13340142012 has 48 divisors (see below), whose sum is σ = 33025370112. Its totient is φ = 4176587520.

The previous prime is 13340141993. The next prime is 13340142017. The reversal of 13340142012 is 21024104331.

13340142012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13340142012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13340142017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33573 + ... + 166755.

It is an arithmetic number, because the mean of its divisors is an integer number (688028544).

Almost surely, 213340142012 is an apocalyptic number.

13340142012 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 13340142012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16512685056).

13340142012 is an abundant number, since it is smaller than the sum of its proper divisors (19685228100).

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

13340142012 is a wasteful number, since it uses less digits than its factorization.

13340142012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133698 (or 133696 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13340142012 its reverse (21024104331), we get a palindrome (34364246343).

The spelling of 13340142012 in words is "thirteen billion, three hundred forty million, one hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 491 982 1473 1964 2946 5892 8347 16694 25041 33388 50082 100164 133183 266366 399549 532732 799098 1598196 2264111 4528222 6792333 9056444 13584666 27169332 65392853 130785706 196178559 261571412 392357118 784714236 1111678501 2223357002 3335035503 4446714004 6670071006 13340142012