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34021233134477 is a prime number
BaseRepresentation
bin1111011110001001011111…
…00001000000101110001101
311110110101202020021110011022
413233010233201000232031
513424400441140300402
6200205045545003525
710110644605146431
oct757045741005615
9143411666243138
1034021233134477
11a927362199946
1239956621835a5
1315ca25b238684
148588ca6889c1
153dee84dd32a2
hex1ef12f840b8d

34021233134477 has 2 divisors, whose sum is σ = 34021233134478. Its totient is φ = 34021233134476.

The previous prime is 34021233134417. The next prime is 34021233134479. The reversal of 34021233134477 is 77443133212043.

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., 31107268057321 + 2913965077156 = 5577389^2 + 1707034^2 .

It is a cyclic number.

It is not a de Polignac number, because 34021233134477 - 228 = 34020964699021 is a prime.

Together with 34021233134479, 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 (34021233134479) 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, 17010616567238 + 17010616567239.

It is an arithmetic number, because the mean of its divisors is an integer number (17010616567239).

Almost surely, 234021233134477 is an apocalyptic number.

It is an amenable number.

34021233134477 is a deficient number, since it is larger than the sum of its proper divisors (1).

34021233134477 is an equidigital number, since it uses as much as digits as its factorization.

34021233134477 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1016064, while the sum is 44.

The spelling of 34021233134477 in words is "thirty-four trillion, twenty-one billion, two hundred thirty-three million, one hundred thirty-four thousand, four hundred seventy-seven".