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331132212331011 = 327134372383129901
BaseRepresentation
bin100101101001010011011100…
…1111000111100001000000011
31121102102221010012220002001200
41023102212321320330020003
5321400232232324043021
63132132012135032243
7126514340624200320
oct11322467170741003
91542387105802050
10331132212331011
1196566423297633
123117b783b0b683
131129c831142610
145baac55461b47
152843797068126
hex12d29b9e3c203

331132212331011 has 96 divisors (see below), whose sum is σ = 602382668439552. Its totient is φ = 170597541139200.

The previous prime is 331132212330937. The next prime is 331132212331049. The reversal of 331132212331011 is 110133212231133.

331132212331011 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 322 + 1 + 2 + 331 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 331132212331011 - 27 = 331132212330883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331132212331111) 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 95 ways as a sum of consecutive naturals, for example, 2549047161 + ... + 2549177061.

It is an arithmetic number, because the mean of its divisors is an integer number (6274819462912).

Almost surely, 2331132212331011 is an apocalyptic number.

331132212331011 is a deficient number, since it is larger than the sum of its proper divisors (271250456108541).

331132212331011 is a wasteful number, since it uses less digits than its factorization.

331132212331011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202353 (or 202350 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 331132212331011 its reverse (110133212231133), we get a palindrome (441265424562144).

The spelling of 331132212331011 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, two hundred twelve million, three hundred thirty-one thousand, eleven".

Divisors: 1 3 7 9 13 21 39 43 63 91 117 129 273 301 387 559 819 903 1677 2709 3913 5031 11739 35217 72383 129901 217149 389703 506681 651447 909307 940979 1169109 1520043 1688713 2727921 2822937 3112469 4560129 5066139 5585743 6586853 8183763 8468811 9337407 11820991 15198417 16757229 19760559 21787283 28012221 35462973 39100201 40462097 50271687 59281677 65361849 72614659 106388919 117300603 121386291 196085547 217843977 283234679 351901809 364158873 508302613 653531931 849704037 1524907839 2549112111 4574723517 9402624083 28207872249 65818368581 84623616747 122234113079 197455105743 366702339237 404312835569 592365317229 855638791553 1100107017711 1212938506707 2566916374659 2830189848983 3638815520121 5256066862397 7700749123977 8490569546949 15768200587191 25471708640847 36792468036779 47304601761573 110377404110337 331132212331011