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12330112320323 = 7196717318014441
BaseRepresentation
bin1011001101101101001111…
…1101110000001101000011
31121122202011201122111102122
42303123103331300031003
53104004032223222243
642120213030434455
72411551451311250
oct263332375601503
947582151574378
1012330112320323
113a24197a61046
1214717a9802a2b
136b5955c4bac5
14308ad0046427
15165b03ee3668
hexb36d3f70343

12330112320323 has 64 divisors (see below), whose sum is σ = 15153448750080. Its totient is φ = 9798319872000.

The previous prime is 12330112320311. The next prime is 12330112320349. The reversal of 12330112320323 is 32302321103321.

It is a cyclic number.

It is not a de Polignac number, because 12330112320323 - 232 = 12325817353027 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12330112320292 and 12330112320301.

It is not an unprimeable number, because it can be changed into a prime (12330112328323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2776424783 + ... + 2776429223.

It is an arithmetic number, because the mean of its divisors is an integer number (236772636720).

Almost surely, 212330112320323 is an apocalyptic number.

12330112320323 is a deficient number, since it is larger than the sum of its proper divisors (2823336429757).

12330112320323 is a wasteful number, since it uses less digits than its factorization.

12330112320323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6508.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 12330112320323 its reverse (32302321103321), we get a palindrome (44632433423644).

The spelling of 12330112320323 in words is "twelve trillion, three hundred thirty billion, one hundred twelve million, three hundred twenty thousand, three hundred twenty-three".

Divisors: 1 7 19 67 133 173 469 1211 1273 1801 3287 4441 8911 11591 12607 23009 31087 34219 81137 84379 120667 220229 239533 297547 311573 590653 768293 844669 1541603 2082829 2181011 2292673 5378051 5653393 5919887 7998241 14597567 16048711 20875391 39573751 41439209 51475631 55987687 102182969 146127737 151966579 360329417 396632429 535882147 978036989 1063766053 1383695693 2776427003 3751175029 6846258923 9685869851 10181760793 26290218167 71272325551 92707611431 184031527169 648953280017 1761444617189 12330112320323