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404000213 is a prime number
BaseRepresentation
bin11000000101001…
…000110111010101
31001011012100002212
4120011020313111
51311411001323
6104031043205
713003642121
oct3005106725
91034170085
10404000213
11198058381
12b3370505
13659122a6
143b926581
1525703b78
hex18148dd5

404000213 has 2 divisors, whose sum is σ = 404000214. Its totient is φ = 404000212.

The previous prime is 404000171. The next prime is 404000263. The reversal of 404000213 is 312000404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 355586449 + 48413764 = 18857^2 + 6958^2 .

It is a cyclic number.

It is not a de Polignac number, because 404000213 - 214 = 403983829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404000263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202000106 + 202000107.

It is an arithmetic number, because the mean of its divisors is an integer number (202000107).

Almost surely, 2404000213 is an apocalyptic number.

It is an amenable number.

404000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

404000213 is an equidigital number, since it uses as much as digits as its factorization.

404000213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 404000213 is about 20099.7565408141. The cubic root of 404000213 is about 739.2543090898.

Adding to 404000213 its reverse (312000404), we get a palindrome (716000617).

The spelling of 404000213 in words is "four hundred four million, two hundred thirteen", and thus it is an aban number.