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231231132202005 = 32513395266892653
BaseRepresentation
bin110100100100110110110001…
…011111101111010000010101
31010022201110222011202122120200
4310210312301133233100111
5220301442324320431010
62135442040552251113
766463620005041305
oct6444666137572025
91108643864678520
10231231132202005
116774a632a43661
1221b261863a0a99
139c04004ac4c20
14411590a065605
151baecbbc74cc0
hexd24db17ef415

231231132202005 has 24 divisors (see below), whose sum is σ = 431631446778168. Its totient is φ = 113836865083776.

The previous prime is 231231132201991. The next prime is 231231132202013. The reversal of 231231132202005 is 500202231132132.

231231132202005 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 311 + 322 + 0 + 20 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25118680517316 + 206112451684689 = 5011854^2 + 14356617^2 .

It is not a de Polignac number, because 231231132202005 - 211 = 231231132199957 is a prime.

It is a super-2 number, since 2×2312311322020052 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 231231132202005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197633445742 + ... + 197633446911.

It is an arithmetic number, because the mean of its divisors is an integer number (17984643615757).

Almost surely, 2231231132202005 is an apocalyptic number.

It is an amenable number.

231231132202005 is a deficient number, since it is larger than the sum of its proper divisors (200400314576163).

231231132202005 is a wasteful number, since it uses less digits than its factorization.

231231132202005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395266892677 (or 395266892674 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 231231132202005 its reverse (500202231132132), we get a palindrome (731433363334137).

The spelling of 231231132202005 in words is "two hundred thirty-one trillion, two hundred thirty-one billion, one hundred thirty-two million, two hundred two thousand, five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 395266892653 1185800677959 1976334463265 3557402033877 5138469604489 5929003389795 15415408813467 17787010169385 25692348022445 46246226440401 77077044067335 231231132202005