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332013123012321 = 324119721121646127
BaseRepresentation
bin100101101111101101101010…
…0010000100000011011100001
31121112120010220101202021221200
41023133123110100200123201
5322004200333442343241
63134044420104111413
7126635104461350442
oct11337332420403341
91545503811667850
10332013123012321
1196875a7a415793
12312a244b165569
131133491aaba17a
145bdb74149d2c9
15285b6537654b6
hex12df6d44206e1

332013123012321 has 48 divisors (see below), whose sum is σ = 496105356434688. Its totient is φ = 213829091078400.

The previous prime is 332013123012191. The next prime is 332013123012341. The reversal of 332013123012321 is 123210321310233.

332013123012321 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 1 + 31 + 2 + 301 + 2 + 321 = 666.

It is not a de Polignac number, because 332013123012321 - 211 = 332013123010273 is a prime.

It is a super-2 number, since 2×3320131230123212 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332013123012341) 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, 4515160 + ... + 26161286.

It is an arithmetic number, because the mean of its divisors is an integer number (10335528259056).

Almost surely, 2332013123012321 is an apocalyptic number.

It is an amenable number.

332013123012321 is a deficient number, since it is larger than the sum of its proper divisors (164092233422367).

332013123012321 is a wasteful number, since it uses less digits than its factorization.

332013123012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21646582 (or 21646579 counting only the distinct ones).

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

Adding to 332013123012321 its reverse (123210321310233), we get a palindrome (455223444322554).

The spelling of 332013123012321 in words is "three hundred thirty-two trillion, thirteen billion, one hundred twenty-three million, twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 41 123 197 211 369 591 633 1773 1899 8077 8651 24231 25953 41567 72693 77859 124701 374103 1704247 5112741 15338223 21646127 64938381 194815143 887491207 2662473621 4264287019 4567332797 7987420863 12792861057 13701998391 38378583171 41105995173 174835767779 187260644677 524507303337 561781934031 899764561009 1573521910011 1685345802093 2699293683027 8097881049081 36890347001369 110671041004107 332013123012321