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34050211105117 is a prime number
BaseRepresentation
bin1111011110111111011101…
…01111001100100101011101
311110120011112202102212211011
413233133232233030211131
513430334313020330432
6200230241231255221
710113021654634024
oct757375657144535
9143504482385734
1034050211105117
11a938682533109
12399b1aa97a511
1315ccbc894c56c
1485a07908d8bb
153e0acde28847
hex1ef7eebcc95d

34050211105117 has 2 divisors, whose sum is σ = 34050211105118. Its totient is φ = 34050211105116.

The previous prime is 34050211105073. The next prime is 34050211105187. The reversal of 34050211105117 is 71150111205043.

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., 33393731970361 + 656479134756 = 5778731^2 + 810234^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34050211105117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34050211105187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17025105552558 + 17025105552559.

It is an arithmetic number, because the mean of its divisors is an integer number (17025105552559).

Almost surely, 234050211105117 is an apocalyptic number.

It is an amenable number.

34050211105117 is a deficient number, since it is larger than the sum of its proper divisors (1).

34050211105117 is an equidigital number, since it uses as much as digits as its factorization.

34050211105117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 31.

The spelling of 34050211105117 in words is "thirty-four trillion, fifty billion, two hundred eleven million, one hundred five thousand, one hundred seventeen".