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12342224321 = 725320692297
BaseRepresentation
bin10110111111010011…
…10110010111000001
31011212011001221212022
423133221312113001
5200234102134241
65400412411225
7614565114200
oct133751662701
934764057768
1012342224321
115263955899
122485476b15
13121902771b
14851263237
154c382054b
hex2dfa765c1

12342224321 has 24 divisors (see below), whose sum is σ = 14641615080. Its totient is φ = 10369911552.

The previous prime is 12342224263. The next prime is 12342224329.

12342224321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1098591025 + 11243633296 = 33145^2 + 106036^2 .

It is not a de Polignac number, because 12342224321 - 214 = 12342207937 is a prime.

It is a super-2 number, since 2×123422243212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12342224329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5372045 + ... + 5374341.

It is an arithmetic number, because the mean of its divisors is an integer number (610067295).

Almost surely, 212342224321 is an apocalyptic number.

It is an amenable number.

12342224321 is a deficient number, since it is larger than the sum of its proper divisors (2299390759).

12342224321 is a wasteful number, since it uses less digits than its factorization.

12342224321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433 (or 4426 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The spelling of 12342224321 in words is "twelve billion, three hundred forty-two million, two hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 7 49 53 371 2069 2297 2597 14483 16079 101381 109657 112553 121741 767599 852187 4752493 5373193 5965309 33267451 232872157 251882129 1763174903 12342224321