Search a number
-
+
12330024211134 = 2327293714919551
BaseRepresentation
bin1011001101101100111010…
…1101101001001010111110
31121122201221120212002100100
42303123032231221022332
53104003342144224014
642120200202141530
72411546331352200
oct263331655511276
947581846762310
1012330024211134
113a24152251333
1214717841b18a6
136b594090c6a6
14308ac246c770
15165aeb3dc009
hexb36ceb692be

12330024211134 has 72 divisors (see below), whose sum is σ = 31109861922048. Its totient is φ = 3519104097600.

The previous prime is 12330024211013. The next prime is 12330024211147. The reversal of 12330024211134 is 43111242003321.

12330024211134 is a `hidden beast` number, since 1 + 2 + 3 + 300 + 242 + 1 + 113 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12330024211098 and 12330024211107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6633342 + ... + 8286209.

It is an arithmetic number, because the mean of its divisors is an integer number (432081415584).

Almost surely, 212330024211134 is an apocalyptic number.

12330024211134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12330024211134 is an abundant number, since it is smaller than the sum of its proper divisors (18779837710914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12330024211134 is a wasteful number, since it uses less digits than its factorization.

12330024211134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14920510 (or 14920500 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12330024211134 its reverse (43111242003321), we get a palindrome (55441266214455).

The spelling of 12330024211134 in words is "twelve trillion, three hundred thirty billion, twenty-four million, two hundred eleven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 937 1874 2811 5622 6559 8433 13118 16866 19677 39354 45913 59031 91826 118062 137739 275478 413217 826434 14919551 29839102 44758653 89517306 104436857 134275959 208873714 268551918 313310571 626621142 731057999 939931713 1462115998 1879863426 2193173997 4386347994 6579521991 13159043982 13979619287 27959238574 41938857861 83877715722 97857335009 125816573583 195714670018 251633147166 293572005027 587144010054 685001345063 880716015081 1370002690126 1761432030162 2055004035189 4110008070378 6165012105567 12330024211134