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4129129 is a prime number
BaseRepresentation
bin1111110000000101101001
321202210002201
433300011221
52024113004
6224300201
750045164
oct17600551
97683081
104129129
112370304
121471661
13b17594
14796adb
155686a4
hex3f0169

4129129 has 2 divisors, whose sum is σ = 4129130. Its totient is φ = 4129128.

The previous prime is 4129109. The next prime is 4129141. The reversal of 4129129 is 9219214.

It is a happy number.

4129129 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., 3415104 + 714025 = 1848^2 + 845^2 .

It is a cyclic number.

It is not a de Polignac number, because 4129129 - 29 = 4128617 is a prime.

It is a Chen prime.

It is equal to p291664 and since 4129129 and 291664 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 4129097 and 4129106.

It is not a weakly prime, because it can be changed into another prime (4129109) 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, 2064564 + 2064565.

It is an arithmetic number, because the mean of its divisors is an integer number (2064565).

Almost surely, 24129129 is an apocalyptic number.

It is an amenable number.

4129129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4129129 is an equidigital number, since it uses as much as digits as its factorization.

4129129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 28.

The square root of 4129129 is about 2032.0258364499. The cubic root of 4129129 is about 160.4302093999.

The spelling of 4129129 in words is "four million, one hundred twenty-nine thousand, one hundred twenty-nine".