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12131641 is a prime number
BaseRepresentation
bin101110010001…
…110100111001
3211211100111001
4232101310321
511101203031
61112005001
7205055134
oct56216471
924740431
1012131641
116936755
124090761
132689bb2
14187b21b
1510e9861
hexb91d39

12131641 has 2 divisors, whose sum is σ = 12131642. Its totient is φ = 12131640.

The previous prime is 12131629. The next prime is 12131653. The reversal of 12131641 is 14613121.

It is a balanced prime because it is at equal distance from previous prime (12131629) and next prime (12131653).

It can be written as a sum of positive squares in only one way, i.e., 10112400 + 2019241 = 3180^2 + 1421^2 .

It is a cyclic number.

It is not a de Polignac number, because 12131641 - 27 = 12131513 is a prime.

It is not a weakly prime, because it can be changed into another prime (12131621) 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 as a sum of consecutive naturals, namely, 6065820 + 6065821.

It is an arithmetic number, because the mean of its divisors is an integer number (6065821).

Almost surely, 212131641 is an apocalyptic number.

It is an amenable number.

12131641 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131641 is an equidigital number, since it uses as much as digits as its factorization.

12131641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 19.

The square root of 12131641 is about 3483.0505307848. The cubic root of 12131641 is about 229.7769797849.

Adding to 12131641 its reverse (14613121), we get a palindrome (26744762).

The spelling of 12131641 in words is "twelve million, one hundred thirty-one thousand, six hundred forty-one".