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13331120322212 = 22711127739346099
BaseRepresentation
bin1100000111111110010010…
…1100001111011010100100
31202012102221200210201112222
43001333210230033122210
53221404113300302322
644204122050131512
72544066406036310
oct301774454173244
952172850721488
1013331120322212
11427a772975750
1215b37b1280b98
13759171cc6a64
143413302c0b40
15181b8debbe42
hexc1fe4b0f6a4

13331120322212 has 96 divisors (see below), whose sum is σ = 29319706214400. Its totient is φ = 5152237009920.

The previous prime is 13331120322199. The next prime is 13331120322269. The reversal of 13331120322212 is 21222302113331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289161539 + ... + 289207637.

It is an arithmetic number, because the mean of its divisors is an integer number (305413606400).

Almost surely, 213331120322212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331120322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14659853107200).

13331120322212 is an abundant number, since it is smaller than the sum of its proper divisors (15988585892188).

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

13331120322212 is a wasteful number, since it uses less digits than its factorization.

13331120322212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53641 (or 53639 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13331120322212 its reverse (21222302113331), we get a palindrome (34553422435543).

The spelling of 13331120322212 in words is "thirteen trillion, three hundred thirty-one billion, one hundred twenty million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 127 154 254 308 508 889 1397 1778 2794 3556 5588 7393 9779 14786 19558 29572 39116 46099 51751 81323 92198 103502 162646 184396 207004 322693 325292 507089 569261 645386 938911 1014178 1138522 1290772 1877822 2028356 2277044 3549623 3755644 5854573 6572377 7099246 10328021 11709146 13144754 14198492 20656042 23418292 26289508 40982011 41312084 64400303 72296147 81964022 128800606 144592294 163928044 257601212 289184588 340809907 450802121 681619814 901604242 1363239628 1803208484 2385669349 3748908977 4771338698 7497817954 9542677396 14995635908 26242362839 43282858189 52484725678 86565716378 104969451356 173131432756 302980007323 476111440079 605960014646 952222880158 1211920029292 1904445760316 3332780080553 6665560161106 13331120322212