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12132422011 = 1721732271069
BaseRepresentation
bin10110100110010011…
…00001000101111011
31011022112021220012101
423103021201011323
5144321400001021
65323515524231
7606436612513
oct132311410573
934275256171
1012132422011
115166488256
122427159677
1311b471a848
1483144c843
154b01cba91
hex2d326117b

12132422011 has 24 divisors (see below), whose sum is σ = 13031855280. Its totient is φ = 11292160512.

The previous prime is 12132422009. The next prime is 12132422017. The reversal of 12132422011 is 11022423121.

12132422011 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 12132422011 - 21 = 12132422009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12132422011.

It is not an unprimeable number, because it can be changed into a prime (12132422017) 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 23 ways as a sum of consecutive naturals, for example, 11348785 + ... + 11349853.

It is an arithmetic number, because the mean of its divisors is an integer number (542993970).

Almost surely, 212132422011 is an apocalyptic number.

12132422011 is a deficient number, since it is larger than the sum of its proper divisors (899433269).

12132422011 is a wasteful number, since it uses less digits than its factorization.

12132422011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12132422011 its reverse (11022423121), we get a palindrome (23154845132).

The spelling of 12132422011 in words is "twelve billion, one hundred thirty-two million, four hundred twenty-two thousand, eleven".

Divisors: 1 17 173 227 289 1069 2941 3859 18173 39271 49997 65603 184937 242663 308941 667607 3143929 4125271 11349319 41980699 53446793 70129607 713671883 12132422011