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3004224313 is a prime number
BaseRepresentation
bin1011001100010000…
…1101001100111001
321202100222102000011
42303010031030321
522123040134223
61214034541521
7134306325316
oct26304151471
97670872004
103004224313
111301896212
126ba1378a1
1338b53322c
14206dc5d0d
15128b2a80d
hexb310d339

3004224313 has 2 divisors, whose sum is σ = 3004224314. Its totient is φ = 3004224312.

The previous prime is 3004224277. The next prime is 3004224317. The reversal of 3004224313 is 3134224003.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2172305664 + 831918649 = 46608^2 + 28843^2 .

It is an emirp because it is prime and its reverse (3134224003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3004224313 - 29 = 3004223801 is a prime.

It is not a weakly prime, because it can be changed into another prime (3004224317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502112156 + 1502112157.

It is an arithmetic number, because the mean of its divisors is an integer number (1502112157).

Almost surely, 23004224313 is an apocalyptic number.

It is an amenable number.

3004224313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3004224313 is an equidigital number, since it uses as much as digits as its factorization.

3004224313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3004224313 is about 54810.8047103853. The cubic root of 3004224313 is about 1442.9261987755.

Adding to 3004224313 its reverse (3134224003), we get a palindrome (6138448316).

The spelling of 3004224313 in words is "three billion, four million, two hundred twenty-four thousand, three hundred thirteen".