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11304432141 = 337449226819
BaseRepresentation
bin10101000011100101…
…11111001000001101
31002011211021122121220
422201302333020031
5141122413312031
65105421113553
7550064042052
oct124162771015
932154248556
1011304432141
11488106a202
1222359b88b9
1310b2017902
147934b9029
15462676596
hex2a1cbf20d

11304432141 has 16 divisors (see below), whose sum is σ = 15514488000. Its totient is φ = 7316241408.

The previous prime is 11304432079. The next prime is 11304432157. The reversal of 11304432141 is 14123440311.

11304432141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11304432141 - 217 = 11304301069 is a prime.

It is a super-3 number, since 3×113044321413 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304431141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63571 + ... + 163248.

It is an arithmetic number, because the mean of its divisors is an integer number (969655500).

Almost surely, 211304432141 is an apocalyptic number.

It is an amenable number.

11304432141 is a deficient number, since it is larger than the sum of its proper divisors (4210055859).

11304432141 is a wasteful number, since it uses less digits than its factorization.

11304432141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227308.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11304432141 its reverse (14123440311), we get a palindrome (25427872452).

The spelling of 11304432141 in words is "eleven billion, three hundred four million, four hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 37 111 449 1347 16613 49839 226819 680457 8392303 25176909 101841731 305525193 3768144047 11304432141