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331301121103134 = 232713919220086547
BaseRepresentation
bin100101101010100010000110…
…1101000110001010100011110
31121110001002002202112201221200
41023111010031220301110132
5321411014144000300014
63132341344532140330
7126532500425106150
oct11325041550612436
91543032082481850
10331301121103134
119662101a951086
12311a84631676a6
13112b273bc9a720
145bb50ba200ad0
152847d80bb1a09
hex12d510da3151e

331301121103134 has 96 divisors (see below), whose sum is σ = 884430998330880. Its totient is φ = 87281042066496.

The previous prime is 331301121103109. The next prime is 331301121103213. The reversal of 331301121103134 is 431301121103133.

331301121103134 is a `hidden beast` number, since 3 + 3 + 1 + 301 + 121 + 103 + 134 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 331301121103098 and 331301121103107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108537952 + ... + 111548595.

It is an arithmetic number, because the mean of its divisors is an integer number (9212822899280).

Almost surely, 2331301121103134 is an apocalyptic number.

331301121103134 is an abundant number, since it is smaller than the sum of its proper divisors (553129877227746).

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

331301121103134 is a wasteful number, since it uses less digits than its factorization.

331301121103134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220087494 (or 220087491 counting only the distinct ones).

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

Adding to 331301121103134 its reverse (431301121103133), we get a palindrome (762602242206267).

Subtracting 331301121103134 from its reverse (431301121103133), we obtain a palindrome (99999999999999).

The spelling of 331301121103134 in words is "three hundred thirty-one trillion, three hundred one billion, one hundred twenty-one million, one hundred three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 919 1638 1838 2757 5514 6433 8271 11947 12866 16542 19299 23894 35841 38598 57897 71682 83629 107523 115794 167258 215046 250887 501774 752661 1505322 220086547 440173094 660259641 1320519282 1540605829 1980778923 2861125111 3081211658 3961557846 4621817487 5722250222 8583375333 9243634974 13865452461 17166750666 20027875777 25750125999 27730904922 40055751554 51500251998 60083627331 120167254662 180250881993 202259536693 360501763986 404519073386 606778610079 1213557220158 1415816756851 1820335830237 2629373977009 2831633513702 3640671660474 4247450270553 5258747954018 7888121931027 8494900541106 12742350811659 15776243862054 18405617839063 23664365793081 25484701623318 36811235678126 47328731586162 55216853517189 110433707034378 165650560551567 331301121103134