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34422303210431 is a prime number
BaseRepresentation
bin1111101001110100100010…
…01001111011101110111111
311111212201222111101022101212
413310322101021323232333
514002433334110213211
6201113215432355035
710151633522432423
oct764722111735677
9144781874338355
1034422303210431
11aa71464858134
123a3b333845a7b
13162901747b146
148700969dab83
153ea60a70138b
hex1f4e9127bbbf

34422303210431 has 2 divisors, whose sum is σ = 34422303210432. Its totient is φ = 34422303210430.

The previous prime is 34422303210413. The next prime is 34422303210433. The reversal of 34422303210431 is 13401230322443.

Together with previous prime (34422303210413) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (13401230322443) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34422303210431 is a prime.

It is a super-4 number, since 4×344223032104314 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

Together with 34422303210433, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34422303210433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17211151605215 + 17211151605216.

It is an arithmetic number, because the mean of its divisors is an integer number (17211151605216).

Almost surely, 234422303210431 is an apocalyptic number.

34422303210431 is a deficient number, since it is larger than the sum of its proper divisors (1).

34422303210431 is an equidigital number, since it uses as much as digits as its factorization.

34422303210431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 34422303210431 its reverse (13401230322443), we get a palindrome (47823533532874).

The spelling of 34422303210431 in words is "thirty-four trillion, four hundred twenty-two billion, three hundred three million, two hundred ten thousand, four hundred thirty-one".