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241320000233 = 131011491233509
BaseRepresentation
bin1110000010111111001…
…0101111101011101001
3212001220000011011220102
43200233302233223221
512423210410001413
6302505541035145
723302064104664
oct3405762575351
9761800134812
10241320000233
1193385937a24
123a9296b5ab5
13199aa9bcc60
14b973ad86db
156425c9c458
hex382fcafae9

241320000233 has 16 divisors (see below), whose sum is σ = 264217842000. Its totient is φ = 219071020800.

The previous prime is 241320000209. The next prime is 241320000241. The reversal of 241320000233 is 332000023142.

It can be written as a sum of positive squares in 8 ways, for example, as 5757319129 + 235562681104 = 75877^2 + 485348^2 .

It is a cyclic number.

It is not a de Polignac number, because 241320000233 - 216 = 241319934697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (241320000133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421118 + ... + 812391.

It is an arithmetic number, because the mean of its divisors is an integer number (16513615125).

Almost surely, 2241320000233 is an apocalyptic number.

It is an amenable number.

241320000233 is a deficient number, since it is larger than the sum of its proper divisors (22897841767).

241320000233 is a wasteful number, since it uses less digits than its factorization.

241320000233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233772.

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 241320000233 its reverse (332000023142), we get a palindrome (573320023375).

The spelling of 241320000233 in words is "two hundred forty-one billion, three hundred twenty million, two hundred thirty-three", and thus it is an aban number.

Divisors: 1 13 101 149 1313 1937 15049 195637 1233509 16035617 124584409 183792841 1619597317 2389306933 18563076941 241320000233