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34424432320013 is a prime number
BaseRepresentation
bin1111101001111000100000…
…00011110101111000001101
311111212221110212200021200022
413310330100003311320031
514003002214133220023
6201114211010511525
710152040344526121
oct764742003657015
9144787425607608
1034424432320013
11aa7235766872a
123a3b8288955a5
1316292965bb8b8
148702196a3581
153ea6d25b87c8
hex1f4f100f5e0d

34424432320013 has 2 divisors, whose sum is σ = 34424432320014. Its totient is φ = 34424432320012.

The previous prime is 34424432320009. The next prime is 34424432320039. The reversal of 34424432320013 is 31002323442443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19991826173284 + 14432606146729 = 4471222^2 + 3799027^2 .

It is an emirp because it is prime and its reverse (31002323442443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34424432320013 - 22 = 34424432320009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34424432320073) 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, 17212216160006 + 17212216160007.

It is an arithmetic number, because the mean of its divisors is an integer number (17212216160007).

Almost surely, 234424432320013 is an apocalyptic number.

It is an amenable number.

34424432320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34424432320013 is an equidigital number, since it uses as much as digits as its factorization.

34424432320013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 34424432320013 its reverse (31002323442443), we get a palindrome (65426755762456).

The spelling of 34424432320013 in words is "thirty-four trillion, four hundred twenty-four billion, four hundred thirty-two million, three hundred twenty thousand, thirteen".