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424133314013 is a prime number
BaseRepresentation
bin1100010110000000101…
…00001100010111011101
31111112202120122202010202
412023000110030113131
523422111112022023
6522502200513245
742433263454043
oct6130024142735
91445676582122
10424133314013
11153968220412
126a24947b825
1330cc34436c6
14167573c2393
15b075470128
hex62c050c5dd

424133314013 has 2 divisors, whose sum is σ = 424133314014. Its totient is φ = 424133314012.

The previous prime is 424133314001. The next prime is 424133314021. The reversal of 424133314013 is 310413331424.

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., 417281116729 + 6852197284 = 645973^2 + 82778^2 .

It is a cyclic number.

It is not a de Polignac number, because 424133314013 - 26 = 424133313949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (424133314063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 212066657006 + 212066657007.

It is an arithmetic number, because the mean of its divisors is an integer number (212066657007).

Almost surely, 2424133314013 is an apocalyptic number.

It is an amenable number.

424133314013 is a deficient number, since it is larger than the sum of its proper divisors (1).

424133314013 is an equidigital number, since it uses as much as digits as its factorization.

424133314013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 424133314013 its reverse (310413331424), we get a palindrome (734546645437).

The spelling of 424133314013 in words is "four hundred twenty-four billion, one hundred thirty-three million, three hundred fourteen thousand, thirteen".