Search a number
-
+
231124133331 = 32713937301177
BaseRepresentation
bin1101011101000000010…
…0100110010111010011
3211002120102211110220100
43113100010212113103
512241320234231311
6254102120143443
722461320501340
oct3272004462723
9732512743810
10231124133331
118a023603243
1238963007b83
1318a44564810
14b28794b7c7
15602aaeea56
hex35d01265d3

231124133331 has 48 divisors (see below), whose sum is σ = 411327227584. Its totient is φ = 121781117952.

The previous prime is 231124133323. The next prime is 231124133341. The reversal of 231124133331 is 133331421132.

231124133331 is a `hidden beast` number, since 2 + 311 + 2 + 4 + 13 + 3 + 331 = 666.

It is not a de Polignac number, because 231124133331 - 23 = 231124133323 is a prime.

It is a super-2 number, since 2×2311241333312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231124133295 and 231124133304.

It is not an unprimeable number, because it can be changed into a prime (231124133341) 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, 616815 + ... + 917991.

Almost surely, 2231124133331 is an apocalyptic number.

231124133331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

231124133331 is a deficient number, since it is larger than the sum of its proper divisors (180203094253).

231124133331 is a wasteful number, since it uses less digits than its factorization.

231124133331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302140 (or 302137 counting only the distinct ones).

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

Adding to 231124133331 its reverse (133331421132), we get a palindrome (364455554463).

The spelling of 231124133331 in words is "two hundred thirty-one billion, one hundred twenty-four million, one hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 937 2811 6559 8433 12181 19677 36543 59031 85267 109629 255801 301177 767403 903531 2108239 2710593 3915301 6324717 11745903 18974151 27407107 35237709 82221321 246663963 282202849 846608547 1975419943 2539825641 3668637037 5926259829 11005911111 17778779487 25680459259 33017733333 77041377777 231124133331