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231212241 = 32131976173
BaseRepresentation
bin11011100100000…
…00010011010001
3121010001210120100
431302000103101
5433142242431
634535403013
75505162111
oct1562002321
9533053510
10231212241
111095711a7
1265523469
1338b94ca0
14229c9041
15154724e6
hexdc804d1

231212241 has 12 divisors (see below), whose sum is σ = 359663668. Its totient is φ = 142284384.

The previous prime is 231212231. The next prime is 231212269. The reversal of 231212241 is 142212132.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31809600 + 199402641 = 5640^2 + 14121^2 .

It is not a de Polignac number, because 231212241 - 226 = 164103377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (231212231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 987970 + ... + 988203.

Almost surely, 2231212241 is an apocalyptic number.

It is an amenable number.

231212241 is a deficient number, since it is larger than the sum of its proper divisors (128451427).

231212241 is a wasteful number, since it uses less digits than its factorization.

231212241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976192 (or 1976189 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 231212241 is about 15205.6647667900. The cubic root of 231212241 is about 613.7671037193.

Adding to 231212241 its reverse (142212132), we get a palindrome (373424373).

The spelling of 231212241 in words is "two hundred thirty-one million, two hundred twelve thousand, two hundred forty-one".

Divisors: 1 3 9 13 39 117 1976173 5928519 17785557 25690249 77070747 231212241