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12332010011013 = 357111722280547
BaseRepresentation
bin1011001101110100010100…
…0100110111100110000101
31121122221001222111011200000
42303131011010313212011
53104021424030323023
642121125220511513
72411646463362210
oct263350504674605
947587058434600
1012332010011013
113a24a8117a160
12147203924b599
136b5b991544c4
14308c300ac777
15165bb58e7243
hexb3745137985

12332010011013 has 144 divisors (see below), whose sum is σ = 24465281078784. Its totient is φ = 6029398736640.

The previous prime is 12332010011011. The next prime is 12332010011077. The reversal of 12332010011013 is 31011001023321.

12332010011013 is a `hidden beast` number, since 123 + 320 + 100 + 110 + 13 = 666.

12332010011013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12332010011013 - 21 = 12332010011011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332010011011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4267206 + ... + 6547752.

Almost surely, 212332010011013 is an apocalyptic number.

It is an amenable number.

12332010011013 is a deficient number, since it is larger than the sum of its proper divisors (12133271067771).

12332010011013 is a wasteful number, since it uses less digits than its factorization.

12332010011013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280614 (or 2280585 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12332010011013 its reverse (31011001023321), we get a palindrome (43343011034334).

The spelling of 12332010011013 in words is "twelve trillion, three hundred thirty-two billion, ten million, eleven thousand, thirteen".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 81 99 119 153 187 189 231 243 289 297 357 459 561 567 693 867 891 1071 1309 1377 1683 1701 2023 2079 2601 2673 3179 3213 3927 4131 5049 6069 6237 7803 9537 9639 11781 15147 18207 18711 22253 23409 28611 28917 35343 45441 54621 66759 70227 85833 106029 163863 200277 257499 318087 491589 600831 772497 1802493 2280547 5407479 6841641 15963829 20524923 25086017 38769299 47891487 61574769 75258051 116307897 143674461 175602119 184724307 225774153 271385093 348923691 426462289 431023383 526806357 554172921 659078083 677322459 814155279 1046771073 1279386867 1293070149 1580419071 1977234249 2031967377 2442465837 2985236023 3140313219 3838160601 3879210447 4613546581 4741257213 5931702747 6095902131 7249858913 7327397511 8955708069 9420939657 11514481803 13840639743 14223771639 17795108241 21749576739 21982192533 26867124207 34543445409 41521919229 42671314917 50749012391 53385324723 65248730217 65946577599 80601372621 103630336227 124565757687 152247037173 160155974169 195746190651 241804117863 373697273061 456741111519 587238571953 725412353589 1121091819183 1370223334557 1761715715859 4110670003671 12332010011013