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41036129 is a prime number
BaseRepresentation
bin1001110010001…
…0100101100001
32212012211222122
42130202211201
541001124004
64023314025
71005541601
oct234424541
985184878
1041036129
1121189062
12118ab915
13866a344
145642c01
153908cbe
hex2722961

41036129 has 2 divisors, whose sum is σ = 41036130. Its totient is φ = 41036128.

The previous prime is 41036111. The next prime is 41036137. The reversal of 41036129 is 92163014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38725729 + 2310400 = 6223^2 + 1520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41036129 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 41036098 and 41036107.

It is not a weakly prime, because it can be changed into another prime (41036729) 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, 20518064 + 20518065.

It is an arithmetic number, because the mean of its divisors is an integer number (20518065).

Almost surely, 241036129 is an apocalyptic number.

It is an amenable number.

41036129 is a deficient number, since it is larger than the sum of its proper divisors (1).

41036129 is an equidigital number, since it uses as much as digits as its factorization.

41036129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 41036129 is about 6405.9448171210. The cubic root of 41036129 is about 344.9229793759.

The spelling of 41036129 in words is "forty-one million, thirty-six thousand, one hundred twenty-nine".