Search a number
-
+
12131665 = 572132293
BaseRepresentation
bin101110010001…
…110101010001
3211211100111221
4232101311101
511101203130
61112005041
7205055200
oct56216521
924740457
1012131665
116936777
124090781
132689c00
14187b237
1510e987a
hexb91d51

12131665 has 36 divisors (see below), whose sum is σ = 18400284. Its totient is φ = 7652736.

The previous prime is 12131653. The next prime is 12131677. The reversal of 12131665 is 56613121.

12131665 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12131653) and next prime (12131677).

It can be written as a sum of positive squares in 6 ways, for example, as 414736 + 11716929 = 644^2 + 3423^2 .

It is not a de Polignac number, because 12131665 - 211 = 12129617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41259 + ... + 41551.

It is an arithmetic number, because the mean of its divisors is an integer number (511119).

Almost surely, 212131665 is an apocalyptic number.

It is an amenable number.

12131665 is a deficient number, since it is larger than the sum of its proper divisors (6268619).

12131665 is a wasteful number, since it uses less digits than its factorization.

12131665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 12131665 is about 3483.0539760388. The cubic root of 12131665 is about 229.7771313072. Note that the first 3 decimals are identical.

Adding to 12131665 its reverse (56613121), we get a palindrome (68744786).

The spelling of 12131665 in words is "twelve million, one hundred thirty-one thousand, six hundred sixty-five".

Divisors: 1 5 7 13 35 49 65 91 169 245 293 455 637 845 1183 1465 2051 3185 3809 5915 8281 10255 14357 19045 26663 41405 49517 71785 133315 186641 247585 346619 933205 1733095 2426333 12131665