Search a number
-
+
12011020000033 = 2321092112274349
BaseRepresentation
bin1010111011001000100010…
…0101001001101100100001
31120112020112122011002220211
42232302020211021230201
53033242032110000113
641313441510534121
72346524162324335
oct256621045115441
946466478132824
1012011020000033
113910932732a4a
12141b996367341
136918327ca672
142d749d3b77c5
1515c67a610b3d
hexaec88949b21

12011020000033 has 48 divisors (see below), whose sum is σ = 12790213128000. Its totient is φ = 11276947059840.

The previous prime is 12011019999991. The next prime is 12011020000037. The reversal of 12011020000033 is 33000002011021.

It is a de Polignac number, because none of the positive numbers 2k-12011020000033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12011019999968 and 12011020000022.

It is not an unprimeable number, because it can be changed into a prime (12011020000037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2761786743 + ... + 2761791091.

It is an arithmetic number, because the mean of its divisors is an integer number (266462773500).

Almost surely, 212011020000033 is an apocalyptic number.

It is an amenable number.

12011020000033 is a deficient number, since it is larger than the sum of its proper divisors (779193127967).

12011020000033 is a wasteful number, since it uses less digits than its factorization.

12011020000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12011020000033 its reverse (33000002011021), we get a palindrome (45011022011054).

The spelling of 12011020000033 in words is "twelve trillion, eleven billion, twenty million, thirty-three", and thus it is an aban number and an uban number.

Divisors: 1 23 109 211 227 529 2507 4349 4853 5221 22999 24743 47897 57661 100027 111619 120083 474041 528977 569089 917639 987223 1101631 2300621 5220773 10902943 12166471 13089047 21105697 22706129 25337513 100022651 107607307 120077779 208304053 250767689 485431031 522240967 2300520973 2474968061 2761788917 4790993219 22705141777 52911982379 56924265403 110192844037 522218260871 12011020000033