Search a number
-
+
330130031322330 = 232523239231666649
BaseRepresentation
bin100101100010000000110001…
…1001111110010010011011010
31121021220010022111111221010100
41023010001203033302103122
5321232322301004303310
63130043350454000230
7126352051634160351
oct11304014317622332
91537803274457110
10330130031322330
119620a3a6233628
12310394b3646076
13112291890646c5
145b745434c2998
15282768e0d6ec0
hex12c40633f24da

330130031322330 has 96 divisors (see below), whose sum is σ = 895662215884800. Its totient is φ = 84206602149120.

The previous prime is 330130031322277. The next prime is 330130031322373. The reversal of 330130031322330 is 33223130031033.

330130031322330 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 3 + 0 + 0 + 3 + 1 + 322 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 330130031322294 and 330130031322303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494874846 + ... + 495541494.

It is an arithmetic number, because the mean of its divisors is an integer number (9329814748800).

Almost surely, 2330130031322330 is an apocalyptic number.

330130031322330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330130031322330 is an abundant number, since it is smaller than the sum of its proper divisors (565532184562470).

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

330130031322330 is a wasteful number, since it uses less digits than its factorization.

330130031322330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905916 (or 905913 counting only the distinct ones).

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

Adding to 330130031322330 its reverse (33223130031033), we get a palindrome (363353161353363).

The spelling of 330130031322330 in words is "three hundred thirty trillion, one hundred thirty billion, thirty-one million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 239231 478462 666649 717693 1196155 1333298 1435386 1999947 2153079 2392310 3333245 3588465 3999894 4306158 5502313 5999841 6666490 7176930 9999735 10765395 11004626 11999682 15332927 16506939 19999470 21530790 27511565 29999205 30665854 33013878 45998781 49520817 55023130 59998410 76664635 82534695 91997562 99041634 137996343 153329270 165069390 229993905 247604085 275992686 459987810 495208170 689981715 1379963430 159483106919 318966213838 478449320757 797415534595 956898641514 1435347962271 1594831069190 2392246603785 2870695924542 3668111459137 4784493207570 7176739811355 7336222918274 11004334377411 14353479622710 18340557295685 22008668754822 33013003132233 36681114591370 55021671887055 66026006264466 110043343774110 165065015661165 330130031322330