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2413340111133 = 337374347170761
BaseRepresentation
bin100011000111100110010…
…001111011000100011101
322112201020211012002012000
4203013212101323010131
5304020010032024013
65044401222032513
7336233550323250
oct43074621730435
98481224162160
102413340111133
11850545639116
1232b87a878739
131467668774a3
1484b40633097
1542b9ab0b973
hex231e647b11d

2413340111133 has 128 divisors (see below), whose sum is σ = 4385496023040. Its totient is φ = 1282683548160.

The previous prime is 2413340111071. The next prime is 2413340111173. The reversal of 2413340111133 is 3311110433142.

2413340111133 is a `hidden beast` number, since 2 + 413 + 3 + 4 + 0 + 111 + 133 = 666.

2413340111133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2413340111133 - 213 = 2413340102941 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2413340111097 and 2413340111106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413340111173) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14047473 + ... + 14218233.

It is an arithmetic number, because the mean of its divisors is an integer number (34261687680).

Almost surely, 22413340111133 is an apocalyptic number.

It is an amenable number.

2413340111133 is a deficient number, since it is larger than the sum of its proper divisors (1972155911907).

2413340111133 is a wasteful number, since it uses less digits than its factorization.

2413340111133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170904 (or 170898 counting only the distinct ones).

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

Adding to 2413340111133 its reverse (3311110433142), we get a palindrome (5724450544275).

The spelling of 2413340111133 in words is "two trillion, four hundred thirteen billion, three hundred forty million, one hundred eleven thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 37 43 47 63 111 129 141 189 259 301 329 333 387 423 777 903 987 999 1161 1269 1591 1739 2021 2331 2709 2961 4773 5217 6063 6993 8127 8883 11137 12173 14147 14319 15651 18189 33411 36519 42441 42957 46953 54567 74777 100233 109557 127323 170761 224331 300699 328671 381969 512283 523439 672993 1195327 1536849 1570317 2018979 3585981 4610547 4710951 6318157 7342723 8025767 10757943 14132853 18954471 22028169 24077301 32273829 44227099 51399061 56180369 56863413 66084507 72231903 132681297 154197183 168541107 170590239 198253521 216695709 271680751 296953379 345107981 398043891 462591549 505623321 815042253 890860137 1035323943 1194131673 1387774647 1516869963 1901765257 2078673653 2415755867 2445126759 2672580411 3105971829 5705295771 6236020959 7247267601 7335380277 8017741233 9317915487 12768995297 17115887313 18708062877 21741802803 38306985891 51347661939 56124188631 65225408409 89382967079 114920957673 268148901237 344762873019 804446703711 2413340111133