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12320013132333 = 331971862939199
BaseRepresentation
bin1011001101000111101000…
…0000011010001000101101
31121121210002220020120222000
42303101322000122020231
53103322341330213313
642111422542042513
72411043260525424
oct263217200321055
947553086216860
1012320013132333
113a1a98525a695
12146b84b579439
136b4a0684361a
14308412a642bb
15165712591673
hexb347a01a22d

12320013132333 has 64 divisors (see below), whose sum is σ = 19485849600000. Its totient is φ = 7670383801920.

The previous prime is 12320013132299. The next prime is 12320013132347. The reversal of 12320013132333 is 33323131002321.

12320013132333 is a `hidden beast` number, since 1 + 2 + 3 + 200 + 131 + 323 + 3 + 3 = 666.

It is not a de Polignac number, because 12320013132333 - 26 = 12320013132269 is a prime.

It is a super-3 number, since 3×123200131323333 (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12320013132297 and 12320013132306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320013132233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314274468 + ... + 314313666.

It is an arithmetic number, because the mean of its divisors is an integer number (304466400000).

Almost surely, 212320013132333 is an apocalyptic number.

It is an amenable number.

12320013132333 is a deficient number, since it is larger than the sum of its proper divisors (7165836467667).

12320013132333 is a wasteful number, since it uses less digits than its factorization.

12320013132333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47927 (or 47921 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12320013132333 its reverse (33323131002321), we get a palindrome (45643144134654).

The spelling of 12320013132333 in words is "twelve trillion, three hundred twenty billion, thirteen million, one hundred thirty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 19 27 57 71 171 213 513 639 1349 1917 4047 8629 12141 25887 36423 39199 77661 117597 163951 232983 352791 491853 612659 744781 1058373 1475559 1837977 2234343 2783129 4426677 5513931 6703029 8349387 11640521 16541793 20109087 25048161 34921563 52879451 75144483 104764689 158638353 314294067 338248171 475915059 1014744513 1427745177 3044233539 6426715249 9132700617 19280145747 24015620141 57840437241 72046860423 173521311723 216140581269 456296782679 648421743807 1368890348037 4106671044111 12320013132333