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643300013 is a prime number
BaseRepresentation
bin100110010101111…
…111101010101101
31122211111000201102
4212111333222231
52304141100023
6143500052445
721640650146
oct4625775255
91584430642
10643300013
11300142904
1215b534125
13a33794c5
1461618acd
153b722628
hex2657faad

643300013 has 2 divisors, whose sum is σ = 643300014. Its totient is φ = 643300012.

The previous prime is 643300001. The next prime is 643300027. The reversal of 643300013 is 310003346.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 615188809 + 28111204 = 24803^2 + 5302^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-643300013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (643300913) 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, 321650006 + 321650007.

It is an arithmetic number, because the mean of its divisors is an integer number (321650007).

Almost surely, 2643300013 is an apocalyptic number.

It is an amenable number.

643300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

643300013 is an equidigital number, since it uses as much as digits as its factorization.

643300013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 643300013 is about 25363.3596552192. The cubic root of 643300013 is about 863.2525171771.

Adding to 643300013 its reverse (310003346), we get a palindrome (953303359).

The spelling of 643300013 in words is "six hundred forty-three million, three hundred thousand, thirteen".