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13311100011132 = 22337211228665911
BaseRepresentation
bin1100000110110011101101…
…1000110100001001111100
31202010112021110001112202000
43001230323120310021330
53221042113100324012
644151011313302300
72542460316146400
oct301547330641174
952115243045660
1013311100011132
114272229a33710
1215ab944564990
1375730135a241
1434039142d100
151813bb58cddc
hexc1b3b63427c

13311100011132 has 144 divisors (see below), whose sum is σ = 43794095466240. Its totient is φ = 3457428559200.

The previous prime is 13311100011049. The next prime is 13311100011133. The reversal of 13311100011132 is 23111000111331.

13311100011132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311100011133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114274744 + ... + 114391167.

It is an arithmetic number, because the mean of its divisors is an integer number (304125662960).

Almost surely, 213311100011132 is an apocalyptic number.

13311100011132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13311100011132 is an abundant number, since it is smaller than the sum of its proper divisors (30482995455108).

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

13311100011132 is a wasteful number, since it uses less digits than its factorization.

13311100011132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228665949 (or 228665934 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13311100011132 its reverse (23111000111331), we get a palindrome (36422100122463).

It can be divided in two parts, 1 and 3311100011132, that added together give a palindrome (3311100011133).

The spelling of 13311100011132 in words is "thirteen trillion, three hundred eleven billion, one hundred million, eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 77 84 98 99 108 126 132 147 154 189 196 198 231 252 294 297 308 378 396 441 462 539 588 594 693 756 882 924 1078 1188 1323 1386 1617 1764 2079 2156 2646 2772 3234 4158 4851 5292 6468 8316 9702 14553 19404 29106 58212 228665911 457331822 685997733 914663644 1371995466 1600661377 2057993199 2515325021 2743990932 3201322754 4115986398 4801984131 5030650042 6173979597 6402645508 7545975063 8231972796 9603968262 10061300084 11204629639 12347959194 14405952393 15091950126 17607275147 19207936524 22409259278 22637925189 24695918388 28811904786 30183900252 33613888917 35214550294 43217857179 44818518556 45275850378 52821825441 57623809572 67227777834 67913775567 70429100588 86435714358 90551700756 100841666751 105643650882 123250926029 134455555668 135827551134 158465476323 172871428716 201683333502 211287301764 246501852058 271655102268 302525000253 316930952646 369752778087 403366667004 475396428969 493003704116 605050000506 633861905292 739505556174 950792857938 1109258334261 1210100001012 1479011112348 1901585715876 2218516668522 3327775002783 4437033337044 6655550005566 13311100011132