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404311213 is a prime number
BaseRepresentation
bin11000000110010…
…100110010101101
31001011210010201101
4120012110302231
51312000424323
6104041443101
713006405615
oct3006246255
91034703641
10404311213
1119824aaa9
12b34a0491
13659c0a07
143b9a7a45
1525765dad
hex18194cad

404311213 has 2 divisors, whose sum is σ = 404311214. Its totient is φ = 404311212.

The previous prime is 404311211. The next prime is 404311217. The reversal of 404311213 is 312113404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 389588644 + 14722569 = 19738^2 + 3837^2 .

It is a cyclic number.

It is not a de Polignac number, because 404311213 - 21 = 404311211 is a prime.

Together with 404311211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404311211) 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, 202155606 + 202155607.

It is an arithmetic number, because the mean of its divisors is an integer number (202155607).

Almost surely, 2404311213 is an apocalyptic number.

It is an amenable number.

404311213 is a deficient number, since it is larger than the sum of its proper divisors (1).

404311213 is an equidigital number, since it uses as much as digits as its factorization.

404311213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 404311213 is about 20107.4914646258. The cubic root of 404311213 is about 739.4439534789.

Adding to 404311213 its reverse (312113404), we get a palindrome (716424617).

The spelling of 404311213 in words is "four hundred four million, three hundred eleven thousand, two hundred thirteen".