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4221003313 is a prime number
BaseRepresentation
bin1111101110010111…
…0110011000110001
3101220011120012000001
43323211312120301
532121034101223
61534502430001
7206412636052
oct37345663061
911804505001
104221003313
11187671229a
12999732301
135236509c7
142c0842729
1519a87c9ad
hexfb976631

4221003313 has 2 divisors, whose sum is σ = 4221003314. Its totient is φ = 4221003312.

The previous prime is 4221003301. The next prime is 4221003329. The reversal of 4221003313 is 3133001224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4218762304 + 2241009 = 64952^2 + 1497^2 .

It is a cyclic number.

It is not a de Polignac number, because 4221003313 - 221 = 4218906161 is a prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (4221003383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2110501656 + 2110501657.

It is an arithmetic number, because the mean of its divisors is an integer number (2110501657).

Almost surely, 24221003313 is an apocalyptic number.

It is an amenable number.

4221003313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4221003313 is an equidigital number, since it uses as much as digits as its factorization.

4221003313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 4221003313 is about 64969.2489798058. The cubic root of 4221003313 is about 1616.1136472506.

Adding to 4221003313 its reverse (3133001224), we get a palindrome (7354004537).

The spelling of 4221003313 in words is "four billion, two hundred twenty-one million, three thousand, three hundred thirteen".