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324213123132 = 223247509937579
BaseRepresentation
bin1001011011111001001…
…10111010100000111100
31010222211222012010102100
410231330212322200330
520302442024420012
6404535204225100
732265206035143
oct4557446724074
91128758163370
10324213123132
11115552946068
1252a0239b190
132475b3284c2
1411998bb875a
15867824c8dc
hex4b7c9ba83c

324213123132 has 72 divisors (see below), whose sum is σ = 837162144000. Its totient is φ = 105748099488.

The previous prime is 324213123121. The next prime is 324213123151. The reversal of 324213123132 is 231321312423.

324213123132 is a `hidden beast` number, since 3 + 2 + 421 + 3 + 1 + 231 + 3 + 2 = 666.

It is a super-2 number, since 2×3242131231322 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 324213123096 and 324213123105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8608719 + ... + 8646297.

It is an arithmetic number, because the mean of its divisors is an integer number (11627252000).

Almost surely, 2324213123132 is an apocalyptic number.

It is an amenable number.

324213123132 is an abundant number, since it is smaller than the sum of its proper divisors (512949020868).

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

324213123132 is a wasteful number, since it uses less digits than its factorization.

324213123132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42735 (or 42730 counting only the distinct ones).

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

Adding to 324213123132 its reverse (231321312423), we get a palindrome (555534435555).

The spelling of 324213123132 in words is "three hundred twenty-four billion, two hundred thirteen million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 5099 10198 15297 20396 30594 37579 45891 61188 75158 91782 112737 150316 183564 225474 239653 338211 450948 479306 676422 718959 958612 1352844 1437918 1766213 2156877 2875836 3532426 4313754 5298639 7064852 8627508 10597278 15895917 21194556 31791834 63583668 191615321 383230642 574845963 766461284 1149691926 1724537889 2299383852 3449075778 6898151556 9005920087 18011840174 27017760261 36023680348 54035520522 81053280783 108071041044 162106561566 324213123132