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35314112122105 = 5177916093268483
BaseRepresentation
bin10000000011110001101010…
…00110111100110011111001
311122000222220012011222211111
420001320311012330303321
514112041300200401410
6203035025032400321
710303234422213115
oct1001706506746371
9148028805158744
1035314112122105
11102856a3724043
123b641408460a1
13169214cc3a20b
148a12d81b6745
15413903a88b8a
hex201e351bccf9

35314112122105 has 32 divisors (see below), whose sum is σ = 45465919833600. Its totient is φ = 26236549527552.

The previous prime is 35314112122103. The next prime is 35314112122123. The reversal of 35314112122105 is 50122121141353.

35314112122105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 35314112122105 - 21 = 35314112122103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35314112122103) 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 in 31 ways as a sum of consecutive naturals, for example, 9170194 + ... + 12438676.

It is an arithmetic number, because the mean of its divisors is an integer number (1420809994800).

Almost surely, 235314112122105 is an apocalyptic number.

It is an amenable number.

35314112122105 is a deficient number, since it is larger than the sum of its proper divisors (10151807711495).

35314112122105 is a wasteful number, since it uses less digits than its factorization.

35314112122105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270193.

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 35314112122105 its reverse (50122121141353), we get a palindrome (85436233263458).

The spelling of 35314112122105 in words is "thirty-five trillion, three hundred fourteen billion, one hundred twelve million, one hundred twenty-two thousand, one hundred five".

Divisors: 1 5 17 79 85 395 1343 1609 6715 8045 27353 127111 136765 635555 2160887 3268483 10804435 16342415 55564211 258210157 277821055 1291050785 4389572669 5258989147 21947863345 26294945735 89402815499 415460142613 447014077495 2077300713065 7062822424421 35314112122105