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12442131 = 32131929193
BaseRepresentation
bin101111011101…
…101000010011
3212102010101200
4233131220103
511141122011
61122402243
7210520302
oct57355023
925363350
1012442131
117028a59
124200383
132768310
14191c439
15115b856
hexbdda13

12442131 has 48 divisors (see below), whose sum is σ = 21184800. Its totient is φ = 6967296.

The previous prime is 12442117. The next prime is 12442139. The reversal of 12442131 is 13124421.

It is not a de Polignac number, because 12442131 - 25 = 12442099 is a prime.

It is a super-2 number, since 2×124421312 = 309613247642322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12442139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64371 + ... + 64563.

It is an arithmetic number, because the mean of its divisors is an integer number (441350).

Almost surely, 212442131 is an apocalyptic number.

12442131 is a deficient number, since it is larger than the sum of its proper divisors (8742669).

12442131 is a wasteful number, since it uses less digits than its factorization.

12442131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 257 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12442131 is about 3527.3404995832. The cubic root of 12442131 is about 231.7207487789.

Adding to 12442131 its reverse (13124421), we get a palindrome (25566552).

It can be divided in two parts, 1244 and 2131, that added together give a cube (3375 = 153).

The spelling of 12442131 in words is "twelve million, four hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 13 19 29 39 57 87 117 171 193 247 261 377 551 579 741 1131 1653 1737 2223 2509 3393 3667 4959 5597 7163 7527 11001 16791 21489 22581 33003 47671 50373 64467 72761 106343 143013 218283 319029 429039 654849 957087 1382459 4147377 12442131