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231013341 = 32136133221
BaseRepresentation
bin11011100010011…
…11101111011101
3121002200200201200
431301033233131
5433114411331
634531230113
75503403166
oct1561175735
9532620650
10231013341
11109445819
1265448339
1338b255b0
142297676d
15154335e6
hexdc4fbdd

231013341 has 24 divisors (see below), whose sum is σ = 360052056. Its totient is φ = 141886080.

The previous prime is 231013327. The next prime is 231013351. The reversal of 231013341 is 143310132.

231013341 is a `hidden beast` number, since 2 + 310 + 13 + 341 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125316 + 230888025 = 354^2 + 15195^2 .

It is not a de Polignac number, because 231013341 - 25 = 231013309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231013351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70111 + ... + 73331.

It is an arithmetic number, because the mean of its divisors is an integer number (15002169).

Almost surely, 2231013341 is an apocalyptic number.

It is an amenable number.

231013341 is a deficient number, since it is larger than the sum of its proper divisors (129038715).

231013341 is a wasteful number, since it uses less digits than its factorization.

231013341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 231013341 is about 15199.1230339122. The cubic root of 231013341 is about 613.5910558033.

Adding to 231013341 its reverse (143310132), we get a palindrome (374323473).

It can be divided in two parts, 2310 and 13341, that added together give a palindrome (15651).

The spelling of 231013341 in words is "two hundred thirty-one million, thirteen thousand, three hundred forty-one".

Divisors: 1 3 9 13 39 117 613 1839 3221 5517 7969 9663 23907 28989 41873 71721 125619 376857 1974473 5923419 17770257 25668149 77004447 231013341