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13312120143321 = 329727164387509
BaseRepresentation
bin1100000110110111100000…
…1100010011110111011001
31202010121220112121122000200
43001231320030103313121
53221101210224041241
644151300434252413
72542524514136616
oct301557014236731
952117815548020
1013312120143321
11427270285806a
1215abb8a127109
137574347c5a5c
1434044aadb50d
1518142ade94b6
hexc1b78313dd9

13312120143321 has 48 divisors (see below), whose sum is σ = 19529084440320. Its totient is φ = 8737134750720.

The previous prime is 13312120143269. The next prime is 13312120143341. The reversal of 13312120143321 is 12334102121331.

13312120143321 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 1 + 201 + 433 + 21 = 666.

It is not a de Polignac number, because 13312120143321 - 29 = 13312120142809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13312120143341) 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 47 ways as a sum of consecutive naturals, for example, 152079115 + ... + 152166623.

It is an arithmetic number, because the mean of its divisors is an integer number (406855925840).

Almost surely, 213312120143321 is an apocalyptic number.

It is an amenable number.

13312120143321 is a deficient number, since it is larger than the sum of its proper divisors (6216964296999).

13312120143321 is a wasteful number, since it uses less digits than its factorization.

13312120143321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88526 (or 88523 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13312120143321 its reverse (12334102121331), we get a palindrome (25646222264652).

The spelling of 13312120143321 in words is "thirteen trillion, three hundred twelve billion, one hundred twenty million, one hundred forty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 97 271 291 643 813 873 1929 2439 5787 26287 62371 78861 87509 174253 187113 236583 262527 522759 561339 787581 1568277 8488373 16902541 23714939 25465119 50707623 56268287 71144817 76395357 152122869 168804861 213434451 506414583 2300349083 5458023839 6901047249 15248705777 16374071517 20703141747 45746117331 49122214551 137238351993 1479124460369 4437373381107 13312120143321