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12072013 is a prime number
BaseRepresentation
bin101110000011…
…010001001101
3211201022200121
4232003101031
511042301023
61110424541
7204416242
oct56032115
924638617
1012072013
1168a5978
124062151
132668a05
1418635c9
1510d6d5d
hexb8344d

12072013 has 2 divisors, whose sum is σ = 12072014. Its totient is φ = 12072012.

The previous prime is 12072007. The next prime is 12072019. The reversal of 12072013 is 31027021.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (12072007) and next prime (12072019).

It can be written as a sum of positive squares in only one way, i.e., 9721924 + 2350089 = 3118^2 + 1533^2 .

It is a cyclic number.

It is not a de Polignac number, because 12072013 - 25 = 12071981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12072019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6036006 + 6036007.

It is an arithmetic number, because the mean of its divisors is an integer number (6036007).

Almost surely, 212072013 is an apocalyptic number.

It is an amenable number.

12072013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12072013 is an equidigital number, since it uses as much as digits as its factorization.

12072013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 12072013 is about 3474.4802489005. The cubic root of 12072013 is about 229.3999038214.

Adding to 12072013 its reverse (31027021), we get a palindrome (43099034).

The spelling of 12072013 in words is "twelve million, seventy-two thousand, thirteen".