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4129109 is a prime number
BaseRepresentation
bin1111110000000101010101
321202210001222
433300011111
52024112414
6224300125
750045135
oct17600525
97683058
104129109
112370296
121471645
13b1757a
14796ac5
1556868e
hex3f0155

4129109 has 2 divisors, whose sum is σ = 4129110. Its totient is φ = 4129108.

The previous prime is 4129087. The next prime is 4129129. The reversal of 4129109 is 9019214.

4129109 is digitally balanced in base 2, 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., 3900625 + 228484 = 1975^2 + 478^2 .

It is a cyclic number.

It is not a de Polignac number, because 4129109 - 212 = 4125013 is a prime.

It is a super-2 number, since 2×41291092 = 34099082267762, which contains 22 as substring.

It is a Chen prime.

It is a zygodrome in base 4.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4129129) 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, 2064554 + 2064555.

It is an arithmetic number, because the mean of its divisors is an integer number (2064555).

Almost surely, 24129109 is an apocalyptic number.

It is an amenable number.

4129109 is a deficient number, since it is larger than the sum of its proper divisors (1).

4129109 is an equidigital number, since it uses as much as digits as its factorization.

4129109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 4129109 is about 2032.0209152467. The cubic root of 4129109 is about 160.4299503776.

The spelling of 4129109 in words is "four million, one hundred twenty-nine thousand, one hundred nine".