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331201021312332 = 223223701570615169
BaseRepresentation
bin100101101001110011011111…
…1001110010111110101001100
31121102200111201122010111110100
41023103212333032113311030
5321402344142423443312
63132223352042211100
7126522325026656313
oct11323467716276514
91542614648114410
10331201021312332
1196592623157746
1231190b87ab3a90
13112a61788bb792
145bb0301c0527a
152845472d145dc
hex12d39bf397d4c

331201021312332 has 72 divisors (see below), whose sum is σ = 874848918958560. Its totient is φ = 105449683046400.

The previous prime is 331201021312253. The next prime is 331201021312363. The reversal of 331201021312332 is 233213120102133.

331201021312332 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 0 + 10 + 2 + 1 + 312 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 331201021312296 and 331201021312305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284727157 + ... + 285888012.

It is an arithmetic number, because the mean of its divisors is an integer number (12150679429980).

Almost surely, 2331201021312332 is an apocalyptic number.

It is an amenable number.

331201021312332 is an abundant number, since it is smaller than the sum of its proper divisors (543647897646228).

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

331201021312332 is a wasteful number, since it uses less digits than its factorization.

331201021312332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570615903 (or 570615898 counting only the distinct ones).

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

Adding to 331201021312332 its reverse (233213120102133), we get a palindrome (564414141414465).

The spelling of 331201021312332 in words is "three hundred thirty-one trillion, two hundred one billion, twenty-one million, three hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 701 828 1402 2103 2804 4206 6309 8412 12618 16123 25236 32246 48369 64492 96738 145107 193476 290214 580428 570615169 1141230338 1711845507 2282460676 3423691014 5135536521 6847382028 10271073042 13124148887 20542146084 26248297774 39372446661 52496595548 78744893322 118117339983 157489786644 236234679966 400001233469 472469359932 800002466938 1200003700407 1600004933876 2400007400814 3600011101221 4800014801628 7200022202442 9200028369787 14400044404884 18400056739574 27600085109361 36800113479148 55200170218722 82800255328083 110400340437444 165600510656166 331201021312332