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20434123430105 = 5721123329662393
BaseRepresentation
bin1001010010101101100001…
…01010110001100011011001
32200100111001012021201202012
410221112300222301203121
510134243041044230410
6111243150125515305
74206213425213600
oct451266052614331
980314035251665
1020434123430105
116569076a61540
12236032a712b35
13b52c11363b28
1450903434ca37
152568123b0605
hex1295b0ab18d9

20434123430105 has 48 divisors (see below), whose sum is σ = 32470427159424. Its totient is φ = 12184322008320.

The previous prime is 20434123430041. The next prime is 20434123430107. The reversal of 20434123430105 is 50103432143402.

It is not a de Polignac number, because 20434123430105 - 26 = 20434123430041 is a prime.

It is a super-2 number, since 2×204341234301052 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20434123430107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164769212 + ... + 164893181.

It is an arithmetic number, because the mean of its divisors is an integer number (676467232488).

Almost surely, 220434123430105 is an apocalyptic number.

It is an amenable number.

20434123430105 is a deficient number, since it is larger than the sum of its proper divisors (12036303729319).

20434123430105 is a wasteful number, since it uses less digits than its factorization.

20434123430105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329662446 (or 329662439 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 20434123430105 its reverse (50103432143402), we get a palindrome (70537555573507).

The spelling of 20434123430105 in words is "twenty trillion, four hundred thirty-four billion, one hundred twenty-three million, four hundred thirty thousand, one hundred five".

Divisors: 1 5 7 11 23 35 49 55 77 115 161 245 253 385 539 805 1127 1265 1771 2695 5635 8855 12397 61985 329662393 1648311965 2307636751 3626286323 7582235039 11538183755 16153457257 18131431615 25384004261 37911175195 53075645273 80767286285 83404585429 126920021305 177688029827 265378226365 371529516911 417022927145 583832098003 888440149135 1857647584555 2919160490015 4086824686021 20434123430105