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12330423640301 = 13219113157216451
BaseRepresentation
bin1011001101101110011010…
…0001010110000011101101
31121122202222102110012011012
42303123212201112003231
53104010201422442201
642120303551235005
72411562251425544
oct263334641260355
947582872405135
1012330423640301
113a24337767388
121471875b18a65
136b59a55b1200
14308b1d52515b
15165b214db5bb
hexb36e68560ed

12330423640301 has 48 divisors (see below), whose sum is σ = 14269364331840. Its totient is φ = 10619334835200.

The previous prime is 12330423640247. The next prime is 12330423640307. The reversal of 12330423640301 is 10304632403321.

It is a de Polignac number, because none of the positive numbers 2k-12330423640301 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330423640307) 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, 56858126 + ... + 57074576.

It is an arithmetic number, because the mean of its divisors is an integer number (297278423580).

Almost surely, 212330423640301 is an apocalyptic number.

It is an amenable number.

12330423640301 is a deficient number, since it is larger than the sum of its proper divisors (1938940691539).

12330423640301 is a wasteful number, since it uses less digits than its factorization.

12330423640301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216766 (or 216753 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 12330423640301 in words is "twelve trillion, three hundred thirty billion, four hundred twenty-three million, six hundred forty thousand, three hundred one".

Divisors: 1 13 19 113 157 169 247 1469 2041 2147 2983 3211 17741 19097 26533 27911 38779 216451 230633 337079 362843 504127 2813863 2998229 4112569 4382027 24458963 33982807 36580219 53463397 56966351 317966519 441776491 464720297 645673333 695024161 3840057191 4133564747 5743094383 6041363861 8393753329 49920743483 72961086629 78537730193 109118793277 648969665279 948494126177 12330423640301