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13214009 is a prime number
BaseRepresentation
bin110010011010…
…000100111001
3220212100012202
4302122010321
511340322014
61151115545
7220213544
oct62320471
926770182
1013214009
117505976
124512bb5
132978753
141a7d85b
1512603de
hexc9a139

13214009 has 2 divisors, whose sum is σ = 13214010. Its totient is φ = 13214008.

The previous prime is 13213999. The next prime is 13214011. The reversal of 13214009 is 90041231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13213225 + 784 = 3635^2 + 28^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13214009 is a prime.

It is a super-2 number, since 2×132140092 = 349220067704162, which contains 22 as substring.

Together with 13214011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13214039) 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, 6607004 + 6607005.

It is an arithmetic number, because the mean of its divisors is an integer number (6607005).

Almost surely, 213214009 is an apocalyptic number.

It is an amenable number.

13214009 is a deficient number, since it is larger than the sum of its proper divisors (1).

13214009 is an equidigital number, since it uses as much as digits as its factorization.

13214009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 13214009 is about 3635.1078388405. The cubic root of 13214009 is about 236.4167263702.

It can be divided in two parts, 132 and 14009, that added together give a palindrome (14141).

The spelling of 13214009 in words is "thirteen million, two hundred fourteen thousand, nine".