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12334211241 = 31129105112263
BaseRepresentation
bin10110111110010110…
…10010000010101001
31011211120222211222120
423133023102002221
5200230024224431
65355524541453
7614440031352
oct133713220251
934746884876
1012334211241
11525a382510
122482851889
131217480361
14850178d29
154c2c8b196
hex2df2d20a9

12334211241 has 32 divisors (see below), whose sum is σ = 18578488320. Its totient is φ = 7210056000.

The previous prime is 12334211221. The next prime is 12334211291. The reversal of 12334211241 is 14211243321.

12334211241 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 12334211241 - 29 = 12334210729 is a prime.

It is a super-2 number, since 2×123342112412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12334211221) 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 31 ways as a sum of consecutive naturals, for example, 999676 + ... + 1011938.

It is an arithmetic number, because the mean of its divisors is an integer number (580577760).

Almost surely, 212334211241 is an apocalyptic number.

12334211241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12334211241 is a deficient number, since it is larger than the sum of its proper divisors (6244277079).

12334211241 is a wasteful number, since it uses less digits than its factorization.

12334211241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13357.

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

Adding to 12334211241 its reverse (14211243321), we get a palindrome (26545454562).

The spelling of 12334211241 in words is "twelve billion, three hundred thirty-four million, two hundred eleven thousand, two hundred forty-one".

Divisors: 1 3 11 29 33 87 319 957 1051 3153 11561 12263 30479 34683 36789 91437 134893 335269 355627 404679 1005807 1066881 3911897 11735691 12888413 38665239 141772543 373763977 425317629 1121291931 4111403747 12334211241