Search a number
-
+
231312333231 = 3371693722903
BaseRepresentation
bin1101011101101101001…
…0100001100110101111
3211010001112222000122000
43113123102201212233
512242211424130411
6254132522023343
722466064251160
oct3273322414657
9733045860560
10231312333231
118a10a866651
12389b6047b53
1318a74549ac5
14b2a493b767
15603c3c7956
hex35db4a19af

231312333231 has 32 divisors (see below), whose sum is σ = 391871800320. Its totient is φ = 132100219872.

The previous prime is 231312333211. The next prime is 231312333269. The reversal of 231312333231 is 132333213132.

231312333231 is a `hidden beast` number, since 2 + 313 + 1 + 23 + 3 + 323 + 1 = 666.

It is not a de Polignac number, because 231312333231 - 25 = 231312333199 is a prime.

It is a super-2 number, since 2×2313123332312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 231312333195 and 231312333204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231312333211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41475 + ... + 681428.

It is an arithmetic number, because the mean of its divisors is an integer number (12245993760).

Almost surely, 2231312333231 is an apocalyptic number.

231312333231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

231312333231 is a deficient number, since it is larger than the sum of its proper divisors (160559467089).

231312333231 is a wasteful number, since it uses less digits than its factorization.

231312333231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724612 (or 724606 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 231312333231 its reverse (132333213132), we get a palindrome (363645546363).

The spelling of 231312333231 in words is "two hundred thirty-one billion, three hundred twelve million, three hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 1693 5079 11851 15237 35553 45711 106659 319977 722903 2168709 5060321 6506127 15180963 19518381 45542889 136628667 1223874779 3671624337 8567123453 11014873011 25701370359 33044619033 77104111077 231312333231