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331211020443021 = 34294124171422857
BaseRepresentation
bin100101101001111000001001…
…1001110000001110110001101
31121102201110112111020222010000
41023103300103032001312031
5321403030132213134041
63132232124154234513
7126523130564120655
oct11323602316016615
91542643474228100
10331211020443021
1196596894428614
1231192ab8725a39
13112a70b0363364
145bb09adbbd365
15284585aa9ebb6
hex12d3c13381d8d

331211020443021 has 80 divisors (see below), whose sum is σ = 524534154384240. Its totient is φ = 207907263406080.

The previous prime is 331211020443011. The next prime is 331211020443047. The reversal of 331211020443021 is 120344020112133.

331211020443021 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 1 + 1 + 0 + 204 + 430 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25839379730025 + 305371640712996 = 5083245^2 + 17474886^2 .

It is not a de Polignac number, because 331211020443021 - 29 = 331211020442509 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331211020443011) 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 79 ways as a sum of consecutive naturals, for example, 232067425 + ... + 233490281.

It is an arithmetic number, because the mean of its divisors is an integer number (6556676929803).

Almost surely, 2331211020443021 is an apocalyptic number.

It is an amenable number.

331211020443021 is a deficient number, since it is larger than the sum of its proper divisors (193323133941219).

331211020443021 is a wasteful number, since it uses less digits than its factorization.

331211020443021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425356 (or 1425347 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 331211020443021 its reverse (120344020112133), we get a palindrome (451555040555154).

The spelling of 331211020443021 in words is "three hundred thirty-one trillion, two hundred eleven billion, twenty million, four hundred forty-three thousand, twenty-one".

Divisors: 1 3 9 27 29 41 81 87 123 261 369 783 1107 1189 2349 2417 3321 3567 7251 10701 21753 32103 65259 70093 96309 99097 195777 210279 297291 630837 891873 1422857 1892511 2675619 2873813 4268571 5677533 8026857 8621439 12805713 25864317 38417139 41262853 58337137 77592951 115251417 123788559 175011411 232778853 371365677 525034233 1114097031 1575102699 1691776973 3342291093 3439045369 4725308097 5075330919 10317136107 15225992757 30951408321 45677978271 92854224963 99732315701 137033934813 141000860129 278562674889 299196947103 423002580387 897590841309 1269007741161 2692772523927 3807023223483 4089024943741 8078317571781 11421069670449 12267074831223 36801224493669 110403673481007 331211020443021