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13132022232303 = 3413237314515119
BaseRepresentation
bin1011111100011000100110…
…0001010011010011101111
31201111102001012121211010000
42333012021201103103233
53210123340142413203
643532433455115343
72523520516144632
oct277061141232357
951442035554100
1013132022232303
114203294220997
1215810a7812b53
137434627bc7c0
14335843cd5c19
1517b8d9d004a3
hexbf1898534ef

13132022232303 has 160 divisors (see below), whose sum is σ = 22366238146560. Its totient is φ = 7617254515200.

The previous prime is 13132022232269. The next prime is 13132022232319. The reversal of 13132022232303 is 30323222023131.

13132022232303 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 202 + 223 + 230 + 3 = 666.

It is not a de Polignac number, because 13132022232303 - 212 = 13132022228207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132022232103) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2565346578 + ... + 2565351696.

It is an arithmetic number, because the mean of its divisors is an integer number (139788988416).

Almost surely, 213132022232303 is an apocalyptic number.

13132022232303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13132022232303 is a deficient number, since it is larger than the sum of its proper divisors (9234215914257).

13132022232303 is a wasteful number, since it uses less digits than its factorization.

13132022232303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6691 (or 6682 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13132022232303 its reverse (30323222023131), we get a palindrome (43455244255434).

The spelling of 13132022232303 in words is "thirteen trillion, one hundred thirty-two billion, twenty-two million, two hundred thirty-two thousand, three hundred three".

Divisors: 1 3 9 13 23 27 39 69 73 81 117 207 219 299 351 621 657 897 949 1053 1451 1679 1863 1971 2691 2847 4353 5037 5119 5913 8073 8541 13059 15111 15357 18863 21827 24219 25623 33373 39177 45333 46071 56589 65481 66547 76869 100119 105923 117531 117737 135999 138213 169767 196443 199641 300357 317769 353211 373687 414639 433849 509301 589329 598923 901071 953307 1059633 1121061 1301547 1376999 1527903 1530581 1767987 1796769 2436229 2703213 2859921 3178899 3363183 3904641 4130997 4591743 4857931 5390307 7308687 7427669 8579763 8594801 9536697 10089549 11713923 12392991 13775229 14573793 21926061 22283007 25784403 30268647 31670977 35141769 37178973 41325687 43721379 65778183 66849021 77353209 95012931 96559697 111536919 111732413 123977061 131164137 170836387 197334549 200547063 232059627 285038793 289679091 335197239 393492411 512509161 542219837 601641189 696178881 855116379 869037273 1005591717 1537527483 1626659511 2220873031 2565349137 2607111819 3016775151 4612582449 4879978533 6662619093 7048857881 7821335457 9050325453 12471056251 13837747347 14639935599 19987857279 21146573643 37413168753 43919806797 59963571837 63439720929 112239506259 162123731263 179890715511 190319162787 336718518777 486371193789 570957488361 1010155556331 1459113581367 4377340744101 13132022232303