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12330201333033 = 3246388710973041
BaseRepresentation
bin1011001101101101100101…
…0001010011110100101001
31121122202101221010210220200
42303123121101103310221
53104004223020124113
642120225530342413
72411553612022443
oct263333121236451
947582357123820
1012330201333033
113a24233228671
12147181358aa09
136b596b51654c
14308adbbb7493
15165b0bc27873
hexb36d9453d29

12330201333033 has 48 divisors (see below), whose sum is σ = 17891050784256. Its totient is φ = 8182972385280.

The previous prime is 12330201333031. The next prime is 12330201333067. The reversal of 12330201333033 is 33033310203321.

12330201333033 is a `hidden beast` number, since 1 + 2 + 330 + 20 + 1 + 3 + 3 + 303 + 3 = 666.

It is not a de Polignac number, because 12330201333033 - 21 = 12330201333031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12330201332988 and 12330201333006.

It is not an unprimeable number, because it can be changed into a prime (12330201333031) 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 47 ways as a sum of consecutive naturals, for example, 4054651993 + ... + 4054655033.

It is an arithmetic number, because the mean of its divisors is an integer number (372730224672).

Almost surely, 212330201333033 is an apocalyptic number.

It is an amenable number.

12330201333033 is a deficient number, since it is larger than the sum of its proper divisors (5560849451223).

12330201333033 is a wasteful number, since it uses less digits than its factorization.

12330201333033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5494 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 12330201333033 its reverse (33033310203321), we get a palindrome (45363511536354).

The spelling of 12330201333033 in words is "twelve trillion, three hundred thirty billion, two hundred one million, three hundred thirty-three thousand, thirty-three".

Divisors: 1 3 9 463 887 1097 1389 2661 3041 3291 4167 7983 9123 9873 27369 410681 507911 973039 1232043 1407983 1523733 2697367 2919117 3335977 3696129 4223949 4571199 8092101 8757351 10007931 12671847 24276303 30023793 450517057 1248880921 1351551171 1544557351 2959011599 3746642763 4054653513 4633672053 8877034797 11239928289 13901016159 26631104391 1370022370337 4110067111011 12330201333033