Search a number
-
+
12105045 = 310541
BaseRepresentation
bin101110001011…
…010101010101
3211210000000000
4232023111111
511044330140
61111241513
7204614451
oct56132525
924700000
1012105045
116918777
124079299
13267aa64
141871661
1510e1a30
hexb8b555

12105045 has 44 divisors (see below), whose sum is σ = 22320396. Its totient is φ = 6298560.

The previous prime is 12105043. The next prime is 12105073. The reversal of 12105045 is 54050121.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 9979281 = 1458^2 + 3159^2 .

It is not a de Polignac number, because 12105045 - 21 = 12105043 is a prime.

It is a super-3 number, since 3×121050453 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 295225 + ... + 295265.

Almost surely, 212105045 is an apocalyptic number.

12105045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12105045 is a deficient number, since it is larger than the sum of its proper divisors (10215351).

12105045 is an frugal number, since it uses more digits than its factorization.

12105045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 12105045 is about 3479.2305183762. The cubic root of 12105045 is about 229.6089448150.

Adding to 12105045 its reverse (54050121), we get a palindrome (66155166).

The spelling of 12105045 in words is "twelve million, one hundred five thousand, forty-five".

Divisors: 1 3 5 9 15 27 41 45 81 123 135 205 243 369 405 615 729 1107 1215 1845 2187 3321 3645 5535 6561 9963 10935 16605 19683 29889 32805 49815 59049 89667 98415 149445 269001 295245 448335 807003 1345005 2421009 4035015 12105045