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231301243210041 = 33611912383308551
BaseRepresentation
bin110100100101111000000100…
…011100000000100100111001
31010022222011221022222212212000
4310211320010130000210321
5220304114421230210131
62135534154010411213
766501651300551454
oct6445700434004471
91108864838885760
10231301243210041
1167777340865704
1221b37892430b09
139c0a7c92386b4
14411907b6d649b
151bb1a21eb1ce6
hexd25e04700939

231301243210041 has 64 divisors (see below), whose sum is σ = 350257566842880. Its totient is φ = 150815043720000.

The previous prime is 231301243210019. The next prime is 231301243210057. The reversal of 231301243210041 is 140012342103132.

231301243210041 is a `hidden beast` number, since 2 + 31 + 301 + 2 + 4 + 321 + 0 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 231301243210041 - 233 = 231292653275449 is a prime.

It is a super-2 number, since 2×2313012432100412 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 231301243209987 and 231301243210014.

It is not an unprimeable number, because it can be changed into a prime (231301243210241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 749482716 + ... + 749791266.

It is an arithmetic number, because the mean of its divisors is an integer number (5472774481920).

Almost surely, 2231301243210041 is an apocalyptic number.

It is an amenable number.

231301243210041 is a deficient number, since it is larger than the sum of its proper divisors (118956323632839).

231301243210041 is a wasteful number, since it uses less digits than its factorization.

231301243210041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311195 (or 311189 counting only the distinct ones).

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

Adding to 231301243210041 its reverse (140012342103132), we get a palindrome (371313585313173).

The spelling of 231301243210041 in words is "two hundred thirty-one trillion, three hundred one billion, two hundred forty-three million, two hundred ten thousand, forty-one".

Divisors: 1 3 9 27 61 183 191 549 573 1647 1719 2383 5157 7149 11651 21447 34953 64341 104859 145363 308551 314577 436089 455153 925653 1308267 1365459 2776959 3924801 4096377 8330877 12289131 18821611 27764333 56464833 58933241 83292999 169394499 176799723 249878997 508183497 530399169 735277033 749636991 1591197507 2205831099 3594927701 6617493297 10784783103 19852479891 32354349309 44851899013 97063047927 134555697039 140437913303 403667091117 421313739909 1211001273351 1263941219727 3791823659181 8566712711483 25700138134449 77100414403347 231301243210041