Search a number
-
+
231023331121113 = 32292837312001009
BaseRepresentation
bin110100100001110101001111…
…100101100001011111011001
31010021222121121011100222220100
4310201311033211201133121
5220240041240231333423
62135202353030050013
766442612340020236
oct6441651745413731
91107877534328810
10231023331121113
116767a498719973
1221ab1a521a9909
139bba53952bc6b
144109835c9a78d
151ba96a89e9343
hexd21d4f9617d9

231023331121113 has 24 divisors (see below), whose sum is σ = 345328957888200. Its totient is φ = 148652256259584.

The previous prime is 231023331121111. The next prime is 231023331121129. The reversal of 231023331121113 is 311121133320132.

231023331121113 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 233 + 311 + 2 + 1 + 113 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37232793089424 + 193790538031689 = 6101868^2 + 13920867^2 .

It is not a de Polignac number, because 231023331121113 - 21 = 231023331121111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (231023331121111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155260048 + ... + 156740961.

It is an arithmetic number, because the mean of its divisors is an integer number (14388706578675).

Almost surely, 2231023331121113 is an apocalyptic number.

It is an amenable number.

231023331121113 is a deficient number, since it is larger than the sum of its proper divisors (114305626767087).

231023331121113 is a wasteful number, since it uses less digits than its factorization.

231023331121113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312003881 (or 312003878 counting only the distinct ones).

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

Adding to 231023331121113 its reverse (311121133320132), we get a palindrome (542144464441245).

The spelling of 231023331121113 in words is "two hundred thirty-one trillion, twenty-three billion, three hundred thirty-one million, one hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 9 29 87 261 2837 8511 25533 82273 246819 740457 312001009 936003027 2808009081 9048029261 27144087783 81432263349 885146862533 2655440587599 7966321762797 25669259013457 77007777040371 231023331121113