Search a number
-
+
12288301 is a prime number
BaseRepresentation
bin101110111000…
…000100101101
3212010022101021
4232320010231
511121211201
61115214141
7206306644
oct56700455
925108337
1012288301
116a33423
124147351
1327132ac
1418bc35b
15112aea1
hexbb812d

12288301 has 2 divisors, whose sum is σ = 12288302. Its totient is φ = 12288300.

The previous prime is 12288299. The next prime is 12288313. The reversal of 12288301 is 10388221.

12288301 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10530025 + 1758276 = 3245^2 + 1326^2 .

It is an emirp because it is prime and its reverse (10388221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12288301 - 21 = 12288299 is a prime.

Together with 12288299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12288391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6144150 + 6144151.

It is an arithmetic number, because the mean of its divisors is an integer number (6144151).

Almost surely, 212288301 is an apocalyptic number.

It is an amenable number.

12288301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12288301 is an equidigital number, since it uses as much as digits as its factorization.

12288301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 12288301 is about 3505.4673012310. The cubic root of 12288301 is about 230.7618154227.

The spelling of 12288301 in words is "twelve million, two hundred eighty-eight thousand, three hundred one".