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12338101 is a prime number
BaseRepresentation
bin101111000100…
…001110110101
3212012211200201
4233010032311
511124304401
61120240501
7206605066
oct57041665
925184621
1012338101
116a67886
124170131
13272cb69
1418d256d
15113ab01
hexbc43b5

12338101 has 2 divisors, whose sum is σ = 12338102. Its totient is φ = 12338100.

The previous prime is 12338099. The next prime is 12338129. The reversal of 12338101 is 10183321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11737476 + 600625 = 3426^2 + 775^2 .

It is a cyclic number.

It is not a de Polignac number, because 12338101 - 21 = 12338099 is a prime.

Together with 12338099, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12338191) 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, 6169050 + 6169051.

It is an arithmetic number, because the mean of its divisors is an integer number (6169051).

Almost surely, 212338101 is an apocalyptic number.

It is an amenable number.

12338101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12338101 is an equidigital number, since it uses as much as digits as its factorization.

12338101 is an odious number, because the sum of its binary digits is odd.

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

The square root of 12338101 is about 3512.5633090380. The cubic root of 12338101 is about 231.0731264020.

The spelling of 12338101 in words is "twelve million, three hundred thirty-eight thousand, one hundred one".