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232113123200223 = 353171647670763
BaseRepresentation
bin110100110001101100001100…
…010000011000110011011111
31010102211210112122102122200000
4310301230030100120303133
5220410420134014401343
62141355144032305343
766614422400605416
oct6461541420306337
91112753478378600
10232113123200223
1167a5a693962901
12220490b33a2253
139c6923451b355
14414649975a47d
151bc7bdd21aed3
hexd31b0c418cdf

232113123200223 has 96 divisors (see below), whose sum is σ = 364526084063232. Its totient is φ = 147412828130400.

The previous prime is 232113123200143. The next prime is 232113123200281. The reversal of 232113123200223 is 322002321311232.

232113123200223 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 1 + 312 + 320 + 0 + 2 + 23 = 666.

It is not a de Polignac number, because 232113123200223 - 214 = 232113123183839 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232113123200423) 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 95 ways as a sum of consecutive naturals, for example, 345708040 + ... + 346378802.

It is an arithmetic number, because the mean of its divisors is an integer number (3797146708992).

Almost surely, 2232113123200223 is an apocalyptic number.

232113123200223 is a deficient number, since it is larger than the sum of its proper divisors (132412960863009).

232113123200223 is an equidigital number, since it uses as much as digits as its factorization.

232113123200223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671527 (or 671515 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 232113123200223 its reverse (322002321311232), we get a palindrome (554115444511455).

The spelling of 232113123200223 in words is "two hundred thirty-two trillion, one hundred thirteen billion, one hundred twenty-three million, two hundred thousand, two hundred twenty-three".

Divisors: 1 3 9 27 31 71 81 93 213 243 279 639 647 837 1917 1941 2201 2511 5751 5823 6603 7533 17253 17469 19809 20057 45937 52407 59427 60171 137811 157221 178281 180513 413433 534843 541539 670763 1240299 1424047 1624617 2012289 3720897 4272141 4873851 6036867 11162691 12816423 18110601 20793653 38449269 47624173 54331803 62380959 115347807 142872519 162995409 187142877 346043421 428617557 433983661 561428631 1285852671 1301950983 1476349363 1684285893 3857558013 3905852949 4429048089 5052857679 11572674039 11717558847 13287144267 13453493491 30812839931 35152676541 39861432801 40360480473 92438519793 105458029623 119584298403 121081441419 277315559379 358752895209 363244324257 831946678137 955198037861 1089732972771 2495840034411 2865594113583 3269198918313 7487520103233 8596782340749 25790347022247 77371041066741 232113123200223