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332023213023012 = 223274313056966201
BaseRepresentation
bin100101101111110010010110…
…1101010110101111100100100
31121112121002221120212221112100
41023133210231222311330210
5322004332020013214022
63134053205224052100
7126635612511131310
oct11337445552657444
91545532846787470
10332023213023012
119687a287a190a5
12312a43a6304030
13113358683313b4
145bdc01b572b40
15285ba444a31ac
hex12df92dab5f24

332023213023012 has 72 divisors (see below), whose sum is σ = 961403642664192. Its totient is φ = 94643673552000.

The previous prime is 332023213022947. The next prime is 332023213023049. The reversal of 332023213023012 is 210320312320233.

332023213023012 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 2 + 321 + 30 + 2 + 301 + 2 = 666.

It is a super-3 number, since 3×3320232130230123 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1528374489 + ... + 1528591712.

It is an arithmetic number, because the mean of its divisors is an integer number (13352828370336).

Almost surely, 2332023213023012 is an apocalyptic number.

It is an amenable number.

332023213023012 is an abundant number, since it is smaller than the sum of its proper divisors (629380429641180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332023213023012 is a wasteful number, since it uses less digits than its factorization.

332023213023012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056966649 (or 3056966644 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 332023213023012 its reverse (210320312320233), we get a palindrome (542343525343245).

The spelling of 332023213023012 in words is "three hundred thirty-two trillion, twenty-three billion, two hundred thirteen million, twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 431 862 1293 1724 2586 3017 3879 5172 6034 7758 9051 12068 15516 18102 27153 36204 54306 108612 3056966201 6113932402 9170898603 12227864804 18341797206 21398763407 27512695809 36683594412 42797526814 55025391618 64196290221 85595053628 110050783236 128392580442 192588870663 256785160884 385177741326 770355482652 1317552432631 2635104865262 3952657297893 5270209730524 7905314595786 9222867028417 11857971893679 15810629191572 18445734056834 23715943787358 27668601085251 36891468113668 47431887574716 55337202170502 83005803255753 110674404341004 166011606511506 332023213023012