Search a number
-
+
131230230231213 = 32241345371751821
BaseRepresentation
bin11101110101101001101011…
…010000011011100010101101
3122012122111011101020020222100
4131311221223100123202231
5114200034002414344323
61143034200245205313
736433033304141421
oct3565515320334255
9565574141206870
10131230230231213
11388a5478889483
121287536a700839
13582bc5ab45569
142459811542b81
1510288ed1d9943
hex775a6b41b8ad

131230230231213 has 24 divisors (see below), whose sum is σ = 190346931230456. Its totient is φ = 87121231948800.

The previous prime is 131230230231209. The next prime is 131230230231253. The reversal of 131230230231213 is 312132032032131.

131230230231213 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 30 + 2 + 302 + 312 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40904556374889 + 90325673856324 = 6395667^2 + 9503982^2 .

It is not a de Polignac number, because 131230230231213 - 22 = 131230230231209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131230230231253) 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, 74034843 + ... + 75786663.

Almost surely, 2131230230231213 is an apocalyptic number.

It is an amenable number.

131230230231213 is a deficient number, since it is larger than the sum of its proper divisors (59116700999243).

131230230231213 is a wasteful number, since it uses less digits than its factorization.

131230230231213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786605 (or 1786602 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131230230231213 its reverse (312132032032131), we get a palindrome (443362262263344).

The spelling of 131230230231213 in words is "one hundred thirty-one trillion, two hundred thirty billion, two hundred thirty million, two hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 241 723 2169 34537 103611 310833 1751821 5255463 8323417 15766389 24970251 74910753 422188861 1266566583 3799699749 60502641877 181507925631 544523776893 14581136692357 43743410077071 131230230231213