Search a number
-
+
12000253 is a prime number
BaseRepresentation
bin101101110001…
…101111111101
3211120200020211
4231301233331
511033002003
61105112421
7204000106
oct55615775
924520224
1012000253
116856a71
124028711
132642155
1418453ad
1510c096d
hexb71bfd

12000253 has 2 divisors, whose sum is σ = 12000254. Its totient is φ = 12000252.

The previous prime is 12000239. The next prime is 12000257. The reversal of 12000253 is 35200021.

12000253 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7518564 + 4481689 = 2742^2 + 2117^2 .

It is a cyclic number.

It is not a de Polignac number, because 12000253 - 213 = 11992061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12000257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000126 + 6000127.

It is an arithmetic number, because the mean of its divisors is an integer number (6000127).

Almost surely, 212000253 is an apocalyptic number.

It is an amenable number.

12000253 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000253 is an equidigital number, since it uses as much as digits as its factorization.

12000253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 12000253 is about 3464.1381323498. The cubic root of 12000253 is about 228.9444574588.

Adding to 12000253 its reverse (35200021), we get a palindrome (47200274).

The spelling of 12000253 in words is "twelve million, two hundred fifty-three", and thus it is an aban number.