Search a number
-
+
231312388632309 = 321091301181239389
BaseRepresentation
bin110100100110000010011100…
…110000011010111011110101
31010100000020201002001222221100
4310212002130300122323311
5220304310232442213214
62135543235551440313
766502524424230105
oct6446023460327365
91110006632058840
10231312388632309
1167781040099396
1221b39a82b26099
139c0b88431b40a
144119817a1d205
151bb1e756c9309
hexd2609cc1aef5

231312388632309 has 24 divisors (see below), whose sum is σ = 337442370665400. Its totient is φ = 152676060451200.

The previous prime is 231312388632251. The next prime is 231312388632313. The reversal of 231312388632309 is 903236883213132.

231312388632309 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 1 + 238 + 86 + 323 + 0 + 9 = 666.

231312388632309 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 202767388209 + 231109621244100 = 450297^2 + 15202290^2 .

It is not a de Polignac number, because 231312388632309 - 28 = 231312388632053 is a prime.

It is a super-2 number, since 2×2313123886323092 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231312388632319) 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, 89343414 + ... + 91895975.

It is an arithmetic number, because the mean of its divisors is an integer number (14060098777725).

Almost surely, 2231312388632309 is an apocalyptic number.

It is an amenable number.

231312388632309 is a deficient number, since it is larger than the sum of its proper divisors (106129982033091).

231312388632309 is a wasteful number, since it uses less digits than its factorization.

231312388632309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181240805 (or 181240802 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 231312388632309 in words is "two hundred thirty-one trillion, three hundred twelve billion, three hundred eighty-eight million, six hundred thirty-two thousand, three hundred nine".

Divisors: 1 3 9 109 327 981 1301 3903 11709 141809 425427 1276281 181239389 543718167 1631154501 19755093401 59265280203 177795840609 235792445089 707377335267 2122132005801 25701376514701 77104129544103 231312388632309