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12342024321 = 311234000067
BaseRepresentation
bin10110111111010010…
…00101100010000001
31011212010200210111220
423133221011202001
5200234024234241
65400404225253
7614563322124
oct133751054201
934763623456
1012342024321
115263829600
12248539b229
131218c87693
148512103bb
154c37d1166
hex2dfa45881

12342024321 has 12 divisors (see below), whose sum is σ = 18088036176. Its totient is φ = 7480014520.

The previous prime is 12342024271. The next prime is 12342024397.

It is a happy number.

12342024321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12342024321 - 29 = 12342023809 is a prime.

It is a super-2 number, since 2×123420243212 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12342024291 and 12342024300.

It is not an unprimeable number, because it can be changed into a prime (12342023321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16999671 + ... + 17000396.

It is an arithmetic number, because the mean of its divisors is an integer number (1507336348).

Almost surely, 212342024321 is an apocalyptic number.

12342024321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12342024321 is a deficient number, since it is larger than the sum of its proper divisors (5746011855).

12342024321 is a wasteful number, since it uses less digits than its factorization.

12342024321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34000092 (or 34000081 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 123420 and 24321, that added together give a palindrome (147741).

The spelling of 12342024321 in words is "twelve billion, three hundred forty-two million, twenty-four thousand, three hundred twenty-one".

Divisors: 1 3 11 33 121 363 34000067 102000201 374000737 1122002211 4114008107 12342024321