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12131289 = 38432
BaseRepresentation
bin101110010001…
…101111011001
3211211100000000
4232101233121
511101200124
61112003213
7205054122
oct56215731
924740000
1012131289
116936465
124090509
1326899a1
14187b049
1510e96c9
hexb91bd9

12131289 has 27 divisors (see below), whose sum is σ = 18629013. Its totient is φ = 7899444.

The previous prime is 12131269. The next prime is 12131293. The reversal of 12131289 is 98213121.

The square root of 12131289 is 3483.

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

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 12131289 - 25 = 12131257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12131219) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 282102 + ... + 282144.

Almost surely, 212131289 is an apocalyptic number.

12131289 is the 3483-rd square number.

12131289 is the 1742-nd centered octagonal number.

It is an amenable number.

12131289 is a deficient number, since it is larger than the sum of its proper divisors (6497724).

12131289 is an frugal number, since it uses more digits than its factorization.

12131289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 46 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The cubic root of 12131289 is about 229.7747574343.

The spelling of 12131289 in words is "twelve million, one hundred thirty-one thousand, two hundred eighty-nine".

Divisors: 1 3 9 27 43 81 129 243 387 729 1161 1849 2187 3483 5547 6561 10449 16641 31347 49923 94041 149769 282123 449307 1347921 4043763 12131289