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12333322323021 = 3717213714833457
BaseRepresentation
bin1011001101111001001101…
…0010111100010001001101
31121200001110102211112022110
42303132103102330101031
53104032121003314041
642121503340134233
72412024140011560
oct263362322742115
947601412745273
1012333322323021
113a25594a16637
121472344837379
136b6047cb049b
14308d164b64d7
15165c40c1a516
hexb37934bc44d

12333322323021 has 48 divisors (see below), whose sum is σ = 20109897012096. Its totient is φ = 6584630452224.

The previous prime is 12333322322963. The next prime is 12333322323061. The reversal of 12333322323021 is 12032322333321.

It is not a de Polignac number, because 12333322323021 - 214 = 12333322306637 is a prime.

It is a super-2 number, since 2×123333223230212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12333322323021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12333322323061) 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, 6585276 + ... + 8248181.

It is an arithmetic number, because the mean of its divisors is an integer number (418956187752).

Almost surely, 212333322323021 is an apocalyptic number.

It is an amenable number.

12333322323021 is a deficient number, since it is larger than the sum of its proper divisors (7776574689075).

12333322323021 is a wasteful number, since it uses less digits than its factorization.

12333322323021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14833638 (or 14833621 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 12333322323021 its reverse (12032322333321), we get a palindrome (24365644656342).

The spelling of 12333322323021 in words is "twelve trillion, three hundred thirty-three billion, three hundred twenty-two million, three hundred twenty-three thousand, twenty-one".

Divisors: 1 3 7 17 21 51 119 137 289 357 411 867 959 2023 2329 2877 6069 6987 16303 39593 48909 118779 277151 831453 14833457 44500371 103834199 252168769 311502597 756506307 1765181383 2032183609 4286869073 5295544149 6096550827 12860607219 14225285263 30008083511 34547121353 42675855789 90024250533 103641364059 241829849471 587301063001 725489548413 1761903189003 4111107441007 12333322323021