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12321330021 = 32711132947161
BaseRepresentation
bin10110111100110100…
…01001001101100101
31011210200202102021100
423132122021031211
5200213230030041
65354344510313
7614222401650
oct133632111545
934720672240
1012321330021
115253084680
12247a47b399
1312148c0230
1484c584897
154c1a946b6
hex2de689365

12321330021 has 96 divisors (see below), whose sum is σ = 24720433920. Its totient is φ = 5704473600.

The previous prime is 12321330011. The next prime is 12321330031. The reversal of 12321330021 is 12003312321.

12321330021 is a `hidden beast` number, since 12 + 321 + 330 + 0 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (12321330011) and next prime (12321330031).

It is not a de Polignac number, because 12321330021 - 210 = 12321328997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12321329976 and 12321330003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321330001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237681 + ... + 284841.

It is an arithmetic number, because the mean of its divisors is an integer number (257504520).

Almost surely, 212321330021 is an apocalyptic number.

12321330021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12321330021 is an abundant number, since it is smaller than the sum of its proper divisors (12399103899).

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

12321330021 is a wasteful number, since it uses less digits than its factorization.

12321330021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47227 (or 47224 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12321330021 its reverse (12003312321), we get a palindrome (24324642342).

The spelling of 12321330021 in words is "twelve billion, three hundred twenty-one million, three hundred thirty thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 29 33 39 63 77 87 91 99 117 143 203 231 261 273 319 377 429 609 693 819 957 1001 1131 1287 1827 2233 2639 2871 3003 3393 4147 6699 7917 9009 12441 20097 23751 29029 37323 47161 87087 141483 261261 330127 424449 518771 613093 990381 1367669 1556313 1839279 2971143 3631397 4103007 4291651 4668939 5517837 6744023 9573683 10894191 12309021 12874953 15044359 17779697 20232069 28721049 32682573 38624859 45133077 47208161 53339091 60696207 86163147 105310513 124457879 135399231 141624483 160017273 195576667 315931539 373373637 424873449 586730001 947794617 1120120911 1369036669 1760190003 4107110007 12321330021