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12301333013421 = 335983373324923
BaseRepresentation
bin1011001100000010000010…
…0101011010001110101101
31121112222220001022020012000
42303000200211122032231
53103021112222412141
642055053202202513
72406512333244354
oct263004045321655
947488801266160
1012301333013421
113a12a69877891
1214680b7653439
136b301a744c1a
1430755db9699b
15164ebc6415b6
hexb302095a3ad

12301333013421 has 64 divisors (see below), whose sum is σ = 18762149145600. Its totient is φ = 7962306253632.

The previous prime is 12301333013419. The next prime is 12301333013531. The reversal of 12301333013421 is 12431033310321.

12301333013421 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 13 + 3 + 301 + 342 + 1 = 666.

It is not a de Polignac number, because 12301333013421 - 21 = 12301333013419 is a prime.

It is a super-2 number, since 2×123013330134212 (a number of 27 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301333083421) 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, 493561066 + ... + 493585988.

It is an arithmetic number, because the mean of its divisors is an integer number (293158580400).

Almost surely, 212301333013421 is an apocalyptic number.

It is an amenable number.

12301333013421 is a deficient number, since it is larger than the sum of its proper divisors (6460816132179).

12301333013421 is a wasteful number, since it uses less digits than its factorization.

12301333013421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28807 (or 28801 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12301333013421 its reverse (12431033310321), we get a palindrome (24732366323742).

The spelling of 12301333013421 in words is "twelve trillion, three hundred one billion, three hundred thirty-three million, thirteen thousand, four hundred twenty-one".

Divisors: 1 3 9 27 59 83 177 249 531 747 1593 2241 3733 4897 11199 14691 24923 33597 44073 74769 100791 132219 220247 224307 309839 660741 672921 929517 1470457 1982223 2068609 2788551 4411371 5946669 6205827 8365653 13234113 18280501 18617481 39702339 54841503 55852443 93037559 122047931 164524509 279112677 366143793 493573527 837338031 1098431379 2512014093 3295294137 5489215981 7722117397 16467647943 23166352191 49402943829 69499056573 148208831487 208497169719 455604926423 1366814779269 4100444337807 12301333013421