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13123021 is a prime number
BaseRepresentation
bin110010000011…
…110111001101
3220200201101211
4302003313031
511324414041
61145134421
7216354352
oct62036715
926621354
1013123021
11745357a
12448a411
132946202
141a58629
151243481
hexc83dcd

13123021 has 2 divisors, whose sum is σ = 13123022. Its totient is φ = 13123020.

The previous prime is 13123009. The next prime is 13123039. The reversal of 13123021 is 12032131.

13123021 is digitally balanced in base 3, because in such base 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., 9922500 + 3200521 = 3150^2 + 1789^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13123021 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13122992 and 13123010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123081) 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, 6561510 + 6561511.

It is an arithmetic number, because the mean of its divisors is an integer number (6561511).

Almost surely, 213123021 is an apocalyptic number.

It is an amenable number.

13123021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123021 is an equidigital number, since it uses as much as digits as its factorization.

13123021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 13123021 is about 3622.5710483026. The cubic root of 13123021 is about 235.8728427801.

Adding to 13123021 its reverse (12032131), we get a palindrome (25155152).

The spelling of 13123021 in words is "thirteen million, one hundred twenty-three thousand, twenty-one".