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13200011333322 = 23117110492685323
BaseRepresentation
bin1100000000010101110111…
…1111001000111011001010
31201201220112111010000011120
43000011131333020323022
53212232110400131242
644024000153340110
72531445405030222
oct300053577107312
951656474100146
1013200011333322
11422a103301880
121592301107636
137499a9444ca8
14338c53817082
1517d568ae91ec
hexc015dfc8eca

13200011333322 has 64 divisors (see below), whose sum is σ = 29233511193600. Its totient is φ = 3939904438400.

The previous prime is 13200011333321. The next prime is 13200011333389. The reversal of 13200011333322 is 22333311000231.

13200011333322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13200011333292 and 13200011333301.

It is not an unprimeable number, because it can be changed into a prime (13200011333321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3572953 + ... + 6258275.

It is an arithmetic number, because the mean of its divisors is an integer number (456773612400).

Almost surely, 213200011333322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200011333322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14616755596800).

13200011333322 is an abundant number, since it is smaller than the sum of its proper divisors (16033499860278).

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

13200011333322 is a wasteful number, since it uses less digits than its factorization.

13200011333322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686459.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13200011333322 its reverse (22333311000231), we get a palindrome (35533322333553).

The spelling of 13200011333322 in words is "thirteen trillion, two hundred billion, eleven million, three hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 426 781 1049 1562 2098 2343 3147 4686 6294 11539 23078 34617 69234 74479 148958 223437 446874 819269 1638538 2457807 2685323 4915614 5370646 8055969 16111938 29538553 59077106 88615659 177231318 190657933 381315866 571973799 1143947598 2097237263 2816903827 4194474526 5633807654 6291711789 8450711481 12583423578 16901422962 30985942097 61971884194 92957826291 185915652582 200000171717 400000343434 600000515151 1200001030302 2200001888887 4400003777774 6600005666661 13200011333322