Base | Representation |
---|---|
bin | 11101110100010110111000… |
… | …111111111010001101110001 |
3 | 122012022222201110222022112200 |
4 | 131310112320333322031301 |
5 | 114142104431043210113 |
6 | 1142525255555413413 |
7 | 36423435443341626 |
oct | 3564267077721561 |
9 | 565288643868480 |
10 | 131141340210033 |
11 | 3887080377895a |
12 | 128600a15b4269 |
13 | 5823762c88caa |
14 | 24553bbc2034d |
15 | 1026449515873 |
hex | 7745b8ffa371 |
131141340210033 has 6 divisors (see below), whose sum is σ = 189426380303394. Its totient is φ = 87427560140016.
The previous prime is 131141340210007. The next prime is 131141340210061. The reversal of 131141340210033 is 330012043141131.
131141340210033 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 413 + 4 + 0 + 210 + 0 + 33 = 666.
It can be written as a sum of positive squares in only one way, i.e., 77426043828849 + 53715296381184 = 8799207^2 + 7329072^2 .
It is not a de Polignac number, because 131141340210033 - 28 = 131141340209777 is a prime.
It is a super-2 number, since 2×1311413402100332 (a number of 29 digits) contains 22 as substring.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 131141340209979 and 131141340210006.
It is not an unprimeable number, because it can be changed into a prime (131141340210073) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7285630011660 + ... + 7285630011677.
It is an arithmetic number, because the mean of its divisors is an integer number (31571063383899).
Almost surely, 2131141340210033 is an apocalyptic number.
It is an amenable number.
131141340210033 is a deficient number, since it is larger than the sum of its proper divisors (58285040093361).
131141340210033 is a wasteful number, since it uses less digits than its factorization.
131141340210033 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14571260023343 (or 14571260023340 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
Adding to 131141340210033 its reverse (330012043141131), we get a palindrome (461153383351164).
The spelling of 131141340210033 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred forty million, two hundred ten thousand, thirty-three".
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