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231310120113 = 32121492115493
BaseRepresentation
bin1101011101101100101…
…0000101010010110001
3211010001101210120210200
43113123022011102301
512242210342320423
6254132402345413
722466036403012
oct3273312052261
9733041716720
10231310120113
118a109594926
12389b535b269
1318a73c53677
14b2a4523009
15603c0dbd43
hex35db2854b1

231310120113 has 12 divisors (see below), whose sum is σ = 334142277300. Its totient is φ = 154193980896.

The previous prime is 231310120091. The next prime is 231310120123. The reversal of 231310120113 is 311021013132.

231310120113 is a `hidden beast` number, since 231 + 310 + 12 + 0 + 113 = 666.

231310120113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 166980928689 + 64329191424 = 408633^2 + 253632^2 .

It is not a de Polignac number, because 231310120113 - 212 = 231310116017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (231310120123) 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 11 ways as a sum of consecutive naturals, for example, 948406 + ... + 1167087.

It is an arithmetic number, because the mean of its divisors is an integer number (27845189775).

Almost surely, 2231310120113 is an apocalyptic number.

It is an amenable number.

231310120113 is a deficient number, since it is larger than the sum of its proper divisors (102832157187).

231310120113 is a wasteful number, since it uses less digits than its factorization.

231310120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127648 (or 2127645 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 231310120113 its reverse (311021013132), we get a palindrome (542331133245).

The spelling of 231310120113 in words is "two hundred thirty-one billion, three hundred ten million, one hundred twenty thousand, one hundred thirteen".

Divisors: 1 3 9 12149 36447 109341 2115493 6346479 19039437 25701124457 77103373371 231310120113