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3220231332321 = 3323731273131787
BaseRepresentation
bin101110110111000100101…
…111101010000111100001
3102101211222110101010111000
4232313010233222013201
5410230013210113241
610503204233142213
7451440222460203
oct56670457520741
912354873333430
103220231332321
1110317686aa333
12440128b5a969
131a4888431523
14b1c07cba773
1558b73dcbeb6
hex2edc4bea1e1

3220231332321 has 128 divisors (see below), whose sum is σ = 5105168547840. Its totient is φ = 2001862646784.

The previous prime is 3220231332281. The next prime is 3220231332397. The reversal of 3220231332321 is 1232331320223.

3220231332321 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 2 + 3 + 1 + 332 + 321 = 666.

It is not a de Polignac number, because 3220231332321 - 210 = 3220231331297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3220231332221) 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 127 ways as a sum of consecutive naturals, for example, 1802031190 + ... + 1802032976.

It is an arithmetic number, because the mean of its divisors is an integer number (39884129280).

Almost surely, 23220231332321 is an apocalyptic number.

It is an amenable number.

3220231332321 is a deficient number, since it is larger than the sum of its proper divisors (1884937215519).

3220231332321 is a wasteful number, since it uses less digits than its factorization.

3220231332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2326 counting only the distinct ones).

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

Adding to 3220231332321 its reverse (1232331320223), we get a palindrome (4452562652544).

The spelling of 3220231332321 in words is "three trillion, two hundred twenty billion, two hundred thirty-one million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 23 27 69 73 127 207 219 313 381 621 657 939 1143 1679 1787 1971 2817 2921 3429 5037 5361 7199 8451 8763 9271 15111 16083 21597 22849 26289 27813 39751 41101 45333 48249 64791 68547 78867 83439 119253 123303 130451 194373 205641 213233 226949 250317 357759 369909 391353 525527 559331 616923 639699 680847 914273 1073277 1109727 1174059 1576581 1677993 1919097 2042541 2742819 2901823 3000373 3522177 4729743 5033979 5219827 5757291 6127623 8228457 8705469 9001119 12864613 14189229 15101937 15659481 16567277 24685371 26116407 27003357 38593839 40831163 46978443 49701831 66741929 71035037 78349221 81010071 115781517 122493489 140935329 149105493 200225787 213105111 347344551 367480467 381047371 447316479 600677361 639315333 939116749 1102441401 1143142113 1633805851 1802032083 1917945999 2817350247 3429426339 4901417553 5185557701 8452050741 10288279017 14704252659 15556673103 25356152223 44112757977 46670019309 119267827123 140010057927 357803481369 1073410444107 3220231332321