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12330500322231 = 3272139722173131
BaseRepresentation
bin1011001101101110101100…
…0101110111001110110111
31121122210011202202000222200
42303123223011313032313
53104010331040302411
642120315330555543
72411564202262200
oct263335305671667
947583152660880
1012330500322231
113a24376a81683
121471897738bb3
136b59b844c230
14308b297a65a7
15165b280d6e56
hexb36eb1773b7

12330500322231 has 72 divisors (see below), whose sum is σ = 22542358994064. Its totient is φ = 6436948331520.

The previous prime is 12330500322209. The next prime is 12330500322253. The reversal of 12330500322231 is 13222300503321.

It is a happy number.

12330500322231 is a `hidden beast` number, since 1 + 2 + 3 + 305 + 0 + 0 + 322 + 2 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (12330500322209) and next prime (12330500322253).

It is not a de Polignac number, because 12330500322231 - 213 = 12330500314039 is a prime.

It is a super-2 number, since 2×123305003222312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12330500322195 and 12330500322204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330500322271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10530465 + ... + 11642666.

It is an arithmetic number, because the mean of its divisors is an integer number (313088319362).

Almost surely, 212330500322231 is an apocalyptic number.

12330500322231 is a deficient number, since it is larger than the sum of its proper divisors (10211858671833).

12330500322231 is a wasteful number, since it uses less digits than its factorization.

12330500322231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22173261 (or 22173251 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 12330500322231 its reverse (13222300503321), we get a palindrome (25552800825552).

The spelling of 12330500322231 in words is "twelve trillion, three hundred thirty billion, five hundred million, three hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 97 117 147 273 291 441 637 679 819 873 1261 1911 2037 3783 4753 5733 6111 8827 11349 14259 26481 42777 61789 79443 185367 556101 22173131 66519393 155211917 199558179 288250703 465635751 864752109 1086483419 1396907253 2017754921 2150793707 2594256327 3259450257 6053264763 6452381121 9778350771 14124284447 15055555949 18159794289 19357143363 27960318191 42372853341 45166667847 83880954573 105388891643 127118560023 135500003541 195722227337 251642863719 316166674929 587166682011 948500024787 1370055591359 1761500046033 4110166774077 12330500322231