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330121011232233 = 321321126934965563
BaseRepresentation
bin100101100001111100100100…
…1100110110111110111101001
31121021212021000212121212200100
41023003321021212313313221
5321232200312333412413
63130035255434100013
7126351312255523524
oct11303711146676751
91537767025555610
10330121011232233
1196206597670411
12310377b687a609
131122837c39bca0
145b73d2955bbbb
15282731228ca73
hex12c3e499b7de9

330121011232233 has 48 divisors (see below), whose sum is σ = 516147019786944. Its totient is φ = 202113468708480.

The previous prime is 330121011232153. The next prime is 330121011232249. The reversal of 330121011232233 is 332232110121033.

330121011232233 is a `hidden beast` number, since 3 + 301 + 2 + 1 + 0 + 1 + 1 + 2 + 322 + 33 = 666.

It is not a de Polignac number, because 330121011232233 - 213 = 330121011224041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330121011232197 and 330121011232206.

It is not an unprimeable number, because it can be changed into a prime (330121011232633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63999310 + ... + 68964872.

It is an arithmetic number, because the mean of its divisors is an integer number (10753062912228).

Almost surely, 2330121011232233 is an apocalyptic number.

It is an amenable number.

330121011232233 is a deficient number, since it is larger than the sum of its proper divisors (186026008554711).

330121011232233 is a wasteful number, since it uses less digits than its factorization.

330121011232233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968486 (or 4968483 counting only the distinct ones).

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

Adding to 330121011232233 its reverse (332232110121033), we get a palindrome (662353121353266).

The spelling of 330121011232233 in words is "three hundred thirty trillion, one hundred twenty-one billion, eleven million, two hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 3 9 13 39 117 211 633 1899 2693 2743 8079 8229 24237 24687 35009 105027 315081 568223 1704669 4965563 5114007 7386899 14896689 22160697 44690067 64552319 66482091 193656957 580970871 1047733793 3143201379 9429604137 13372261159 13620539309 40116783477 40861617927 120350350431 122584853781 173839395067 521518185201 1564554555603 2821547104549 8464641313647 25393923940941 36680112359137 110040337077411 330121011232233