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12181523778214 = 2722341775716993
BaseRepresentation
bin1011000101000011101101…
…1001011100101010100110
31121010112122100002110210021
42301100323121130222212
53044040230041400324
641524040442345354
72365041341453500
oct261207331345246
947115570073707
1012181523778214
11397717866811a
121448a3b7bb25a
136a4935c3043b
14301835d0ad70
15161d092bdae4
hexb143b65caa6

12181523778214 has 96 divisors (see below), whose sum is σ = 22724902662336. Its totient is φ = 4870956625920.

The previous prime is 12181523778197. The next prime is 12181523778271. The reversal of 12181523778214 is 41287732518121.

12181523778214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×121815237782143 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716846902 + ... + 716863894.

It is an arithmetic number, because the mean of its divisors is an integer number (236717736066).

Almost surely, 212181523778214 is an apocalyptic number.

12181523778214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12181523778214 is a deficient number, since it is larger than the sum of its proper divisors (10543378884122).

12181523778214 is a wasteful number, since it uses less digits than its factorization.

12181523778214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24830 (or 24823 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 52.

The spelling of 12181523778214 in words is "twelve trillion, one hundred eighty-one billion, five hundred twenty-three million, seven hundred seventy-eight thousand, two hundred fourteen".

Divisors: 1 2 7 14 23 41 46 49 82 98 161 287 322 574 943 1127 1886 2009 2254 4018 6601 7757 13202 15514 16993 33986 46207 54299 92414 108598 118951 178411 237902 318037 356822 380093 390839 636074 696713 760186 781678 832657 1248877 1393426 1665314 2226259 2497754 2735873 4452518 4876991 5471746 7314851 8742139 9753982 14629702 15583813 16024399 17484278 19151111 31167626 32048798 34138937 38302222 51203957 68277874 102407914 112170793 131814701 224341586 263629402 358427699 716855398 785195551 922702907 1570391102 1845405814 3031738123 5404402741 6063476246 6458920349 10808805482 12917840698 21222166861 37830819187 42444333722 75661638374 124301263043 148555168027 248602526086 264815734309 297110336054 529631468618 870108841301 1740217682602 6090761889107 12181523778214