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13313221322112 = 2732173653102299
BaseRepresentation
bin1100000110111011100111…
…0100111110010110000000
31202010201202021200022100100
43001232321310332112000
53221110434124301422
644152002012322400
72542564015042455
oct301567164762600
952121667608310
1013313221322112
1142731183a7a88
1215b0236a73400
1375757b99a13a
1434051306582c
151814929147ac
hexc1bb9d3e580

13313221322112 has 192 divisors, whose sum is σ = 38591011602000. Its totient is φ = 4405289054208.

The previous prime is 13313221322087. The next prime is 13313221322117. The reversal of 13313221322112 is 21122312231331.

13313221322112 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 221 + 322 + 112 = 666.

13313221322112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313221322117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130089139 + ... + 130191437.

Almost surely, 213313221322112 is an apocalyptic number.

13313221322112 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 13313221322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295505801000).

13313221322112 is an abundant number, since it is smaller than the sum of its proper divisors (25277790279888).

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

13313221322112 is a wasteful number, since it uses less digits than its factorization.

13313221322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103145 (or 103130 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13313221322112 its reverse (21122312231331), we get a palindrome (34435533553443).

The spelling of 13313221322112 in words is "thirteen trillion, three hundred thirteen billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred twelve".