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12316338441 = 34112192592
BaseRepresentation
bin10110111100001110…
…00110100100001001
31011210100100211010000
423132013012210021
5200210440312231
65354045513213
7614132102151
oct133607064411
934710324100
1012316338441
115250285400
122478872809
131213863234
1484ba45761
154c140a6e6
hex2de1c6909

12316338441 has 135 divisors (see below), whose sum is σ = 21711404253. Its totient is φ = 6951724560.

The previous prime is 12316338439. The next prime is 12316338443. The reversal of 12316338441 is 14483361321.

The square root of 12316338441 is 110979.

It is a perfect power (a square), and thus also a powerful number.

12316338441 is a `hidden beast` number, since 1 + 2 + 316 + 338 + 4 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (12316338439) and next prime (12316338443).

It is not a de Polignac number, because 12316338441 - 21 = 12316338439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12316338396 and 12316338405.

It is not an unprimeable number, because it can be changed into a prime (12316338443) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 208751470 + ... + 208751528.

Almost surely, 212316338441 is an apocalyptic number.

12316338441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12316338441 is the 110979-th square number.

12316338441 is the 55490-th centered octagonal number.

It is an amenable number.

12316338441 is a deficient number, since it is larger than the sum of its proper divisors (9395065812).

12316338441 is an equidigital number, since it uses as much as digits as its factorization.

12316338441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 92 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Multiplying 12316338441 by its sum of digits (36), we get a square (443388183876 = 6658742).

Adding to 12316338441 its reverse (14483361321), we get a palindrome (26799699762).

It can be divided in two parts, 123163 and 38441, that added together give a square (161604 = 4022).

The spelling of 12316338441 in words is "twelve billion, three hundred sixteen million, three hundred thirty-eight thousand, four hundred forty-one".

Divisors: 1 3 9 11 19 27 33 57 59 81 99 121 171 177 209 297 361 363 513 531 627 649 891 1083 1089 1121 1539 1593 1881 1947 2299 3249 3267 3363 3481 3971 4779 5643 5841 6897 7139 9747 9801 10089 10443 11913 12331 16929 17523 20691 21299 21417 29241 30267 31329 35739 36993 38291 43681 52569 62073 63897 64251 66139 90801 93987 107217 110979 114873 131043 135641 186219 191691 192753 198417 234289 281961 321651 332937 344619 393129 406923 421201 575073 578259 595251 702867 727529 998811 1033857 1179387 1220769 1256641 1263603 1725219 1785753 2108601 2182587 2577179 3101571 3538161 3662307 3769923 3790809 5357259 6325803 6547761 7731537 8002819 10986921 11309769 11372427 13823051 18977409 19643283 23194611 24008457 33929307 34117281 41469153 58929849 69583833 72025371 101787921 124407459 152053561 208751499 216076113 373222377 456160683 648228339 1119667131 1368482049 4105446147 12316338441