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412004223313 is a prime number
BaseRepresentation
bin1011111111011010101…
…11011000100101010001
31110101110021122002122021
411333231113120211101
523222241040121223
6513134440211441
741523564054424
oct5775527304521
91411407562567
10412004223313
11149803709011
1267a23469b81
132cb0c621267
1415d2659d9bb
15aab570065d
hex5fed5d8951

412004223313 has 2 divisors, whose sum is σ = 412004223314. Its totient is φ = 412004223312.

The previous prime is 412004223269. The next prime is 412004223341. The reversal of 412004223313 is 313322400214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 360278453824 + 51725769489 = 600232^2 + 227433^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-412004223313 is a prime.

It is not a weakly prime, because it can be changed into another prime (412004223343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206002111656 + 206002111657.

It is an arithmetic number, because the mean of its divisors is an integer number (206002111657).

Almost surely, 2412004223313 is an apocalyptic number.

It is an amenable number.

412004223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

412004223313 is an equidigital number, since it uses as much as digits as its factorization.

412004223313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 412004223313 its reverse (313322400214), we get a palindrome (725326623527).

The spelling of 412004223313 in words is "four hundred twelve billion, four million, two hundred twenty-three thousand, three hundred thirteen".