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34134822901 is a prime number
BaseRepresentation
bin11111110010100110…
…000000111111110101
310021002220200200002001
4133302212000333311
51024402003313101
623403055415301
72315615131054
oct376246007765
9107086620061
1034134822901
1113527243743
126747824531
1332acc0057a
14191b65639b
15d4bb31901
hex7f2980ff5

34134822901 has 2 divisors, whose sum is σ = 34134822902. Its totient is φ = 34134822900.

The previous prime is 34134822899. The next prime is 34134822907. The reversal of 34134822901 is 10922843143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32760638001 + 1374184900 = 180999^2 + 37070^2 .

It is a cyclic number.

It is not a de Polignac number, because 34134822901 - 21 = 34134822899 is a prime.

It is a super-2 number, since 2×341348229012 (a number of 22 digits) contains 22 as substring.

Together with 34134822899, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34134822907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17067411450 + 17067411451.

It is an arithmetic number, because the mean of its divisors is an integer number (17067411451).

Almost surely, 234134822901 is an apocalyptic number.

It is an amenable number.

34134822901 is a deficient number, since it is larger than the sum of its proper divisors (1).

34134822901 is an equidigital number, since it uses as much as digits as its factorization.

34134822901 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 37.

The spelling of 34134822901 in words is "thirty-four billion, one hundred thirty-four million, eight hundred twenty-two thousand, nine hundred one".