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13123441 is a prime number
BaseRepresentation
bin110010000011…
…111101110001
3220200201222101
4302003331301
511324422231
61145140401
7216355522
oct62037561
926621871
1013123441
117453921
12448a701
132946466
141a58849
151243661
hexc83f71

13123441 has 2 divisors, whose sum is σ = 13123442. Its totient is φ = 13123440.

The previous prime is 13123423. The next prime is 13123459. The reversal of 13123441 is 14432131.

It is a balanced prime because it is at equal distance from previous prime (13123423) and next prime (13123459).

It can be written as a sum of positive squares in only one way, i.e., 10751841 + 2371600 = 3279^2 + 1540^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123441 - 223 = 4734833 is a prime.

It is not a weakly prime, because it can be changed into another prime (13123741) 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, 6561720 + 6561721.

It is an arithmetic number, because the mean of its divisors is an integer number (6561721).

Almost surely, 213123441 is an apocalyptic number.

It is an amenable number.

13123441 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123441 is an equidigital number, since it uses as much as digits as its factorization.

13123441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 19.

The square root of 13123441 is about 3622.6290177163. The cubic root of 13123441 is about 235.8753591096.

Adding to 13123441 its reverse (14432131), we get a palindrome (27555572).

It can be divided in two parts, 1312 and 3441, that added together give a triangular number (4753 = T97).

The spelling of 13123441 in words is "thirteen million, one hundred twenty-three thousand, four hundred forty-one".