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12388488321 = 3112237120899
BaseRepresentation
bin10111000100110100…
…10101010010000001
31011222101010102010210
423202122111102001
5200332423111241
65405144144333
7615666261516
oct134232252201
934871112123
1012388488321
115287a84700
122498a680a9
1312257a5481
1485746730d
154c790d316
hex2e2695481

12388488321 has 48 divisors (see below), whose sum is σ = 19213286400. Its totient is φ = 7080242400.

The previous prime is 12388488313. The next prime is 12388488323.

12388488321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12388488321 - 23 = 12388488313 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12388488323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582330 + ... + 603228.

It is an arithmetic number, because the mean of its divisors is an integer number (400276800).

Almost surely, 212388488321 is an apocalyptic number.

12388488321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12388488321 is a deficient number, since it is larger than the sum of its proper divisors (6824798079).

12388488321 is a wasteful number, since it uses less digits than its factorization.

12388488321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21018 (or 21007 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The spelling of 12388488321 in words is "twelve billion, three hundred eighty-eight million, four hundred eighty-eight thousand, three hundred twenty-one".

Divisors: 1 3 11 23 33 69 71 121 213 253 363 759 781 1633 2343 2783 4899 8349 8591 17963 20899 25773 53889 62697 197593 229889 480677 592779 689667 1442031 1483829 2528779 4451487 5287447 7586337 15862341 16322119 34128067 48966357 58161917 102384201 174485751 179543309 375408737 538629927 1126226211 4129496107 12388488321