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231131321203131 = 32234782728726657
BaseRepresentation
bin110100100011011001110100…
…010010111111100110111011
31010022100221100011202120010200
4310203121310102333212323
5220243323421212000011
62135324132500213243
766453454414410426
oct6443316422774673
91108327304676120
10231131321203131
1167711274268938
1221b0a96b99a223
139bc77894bb38b
144110b5c1629bd
151bac3c9420856
hexd236744bf9bb

231131321203131 has 48 divisors (see below), whose sum is σ = 356214236212224. Its totient is φ = 144077738821632.

The previous prime is 231131321203087. The next prime is 231131321203151. The reversal of 231131321203131 is 131302123131132.

231131321203131 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 3 + 1 + 321 + 20 + 313 + 1 = 666.

It is not a de Polignac number, because 231131321203131 - 26 = 231131321203067 is a prime.

It is a super-2 number, since 2×2311313212031312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231131321203095 and 231131321203104.

It is not an unprimeable number, because it can be changed into a prime (231131321203151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6317446 + ... + 22409211.

It is an arithmetic number, because the mean of its divisors is an integer number (7421129921088).

Almost surely, 2231131321203131 is an apocalyptic number.

231131321203131 is a deficient number, since it is larger than the sum of its proper divisors (125082915009093).

231131321203131 is a wasteful number, since it uses less digits than its factorization.

231131321203131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28727560 (or 28727557 counting only the distinct ones).

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

Adding to 231131321203131 its reverse (131302123131132), we get a palindrome (362433444334263).

The spelling of 231131321203131 in words is "two hundred thirty-one trillion, one hundred thirty-one billion, three hundred twenty-one million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 3 9 23 47 69 141 207 423 827 1081 2481 3243 7443 9729 19021 38869 57063 116607 171189 349821 893987 2681961 8045883 28726657 86179971 258539913 660713111 1350152879 1982139333 4050458637 5946417999 12151375911 23756945339 31053516217 71270836017 93160548651 213812508051 279481645953 546409742797 1116576430933 1639229228391 3349729292799 4917687685173 10049187878397 25681257911459 77043773734377 231131321203131