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34122324444841 is a prime number
BaseRepresentation
bin1111100001000101110010…
…00001110000011010101001
311110211001200110102002210101
413300202321001300122221
513433030010024213331
6200323325054345401
710121154003130003
oct760427101603251
9143731613362711
1034122324444841
11a966218644636
1239b11754bb261
13160694bb75799
1485d75a625373
153e28eed39061
hex1f08b90706a9

34122324444841 has 2 divisors, whose sum is σ = 34122324444842. Its totient is φ = 34122324444840.

The previous prime is 34122324444839. The next prime is 34122324444931. The reversal of 34122324444841 is 14844442322143.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20571304513600 + 13551019931241 = 4535560^2 + 3681171^2 .

It is a cyclic number.

It is not a de Polignac number, because 34122324444841 - 21 = 34122324444839 is a prime.

Together with 34122324444839, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 34122324444791 and 34122324444800.

It is not a weakly prime, because it can be changed into another prime (34122324444041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17061162222420 + 17061162222421.

It is an arithmetic number, because the mean of its divisors is an integer number (17061162222421).

Almost surely, 234122324444841 is an apocalyptic number.

It is an amenable number.

34122324444841 is a deficient number, since it is larger than the sum of its proper divisors (1).

34122324444841 is an equidigital number, since it uses as much as digits as its factorization.

34122324444841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2359296, while the sum is 46.

Adding to 34122324444841 its reverse (14844442322143), we get a palindrome (48966766766984).

The spelling of 34122324444841 in words is "thirty-four trillion, one hundred twenty-two billion, three hundred twenty-four million, four hundred forty-four thousand, eight hundred forty-one".