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411311009 is a prime number
BaseRepresentation
bin11000100001000…
…001101110100001
31001122221202122002
4120201001232201
51320243423014
6104451453345
713123041314
oct3041015641
91048852562
10411311009
111a11a105a
12b58b7255
13672a1ac5
143c8aa97b
1526199dde
hex18841ba1

411311009 has 2 divisors, whose sum is σ = 411311010. Its totient is φ = 411311008.

The previous prime is 411311003. The next prime is 411311027. The reversal of 411311009 is 900113114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251920384 + 159390625 = 15872^2 + 12625^2 .

It is a cyclic number.

It is not a de Polignac number, because 411311009 - 224 = 394533793 is a prime.

It is a super-2 number, since 2×4113110092 = 338353492249196162, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (411311003) 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, 205655504 + 205655505.

It is an arithmetic number, because the mean of its divisors is an integer number (205655505).

Almost surely, 2411311009 is an apocalyptic number.

It is an amenable number.

411311009 is a deficient number, since it is larger than the sum of its proper divisors (1).

411311009 is an equidigital number, since it uses as much as digits as its factorization.

411311009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 411311009 is about 20280.8039534926. The cubic root of 411311009 is about 743.6868653986.

The spelling of 411311009 in words is "four hundred eleven million, three hundred eleven thousand, nine".