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412218041 is a prime number
BaseRepresentation
bin11000100100011…
…111001010111001
31001201122211211212
4120210133022321
51321011434131
6104523132505
713133536604
oct3044371271
91051584755
10412218041
111a1760574
12b6074135
136752b901
143ca6533b
15262c8a2b
hex1891f2b9

412218041 has 2 divisors, whose sum is σ = 412218042. Its totient is φ = 412218040.

The previous prime is 412218031. The next prime is 412218043. The reversal of 412218041 is 140812214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 400800400 + 11417641 = 20020^2 + 3379^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-412218041 is a prime.

It is a Sophie Germain prime.

Together with 412218043, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 412217998 and 412218016.

It is not a weakly prime, because it can be changed into another prime (412218043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206109020 + 206109021.

It is an arithmetic number, because the mean of its divisors is an integer number (206109021).

Almost surely, 2412218041 is an apocalyptic number.

It is an amenable number.

412218041 is a deficient number, since it is larger than the sum of its proper divisors (1).

412218041 is an equidigital number, since it uses as much as digits as its factorization.

412218041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 412218041 is about 20303.1534742759. The cubic root of 412218041 is about 744.2331288782.

The spelling of 412218041 in words is "four hundred twelve million, two hundred eighteen thousand, forty-one".