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12342353127 = 31319233472087
BaseRepresentation
bin10110111111010100…
…10101110011100111
31011212011022111112220
423133222111303213
5200234120300002
65400415243423
7614566161546
oct133752256347
934764274486
1012342353127
115263a33645
122485519573
131219071240
1485129815d
154c38487bc
hex2dfa95ce7

12342353127 has 64 divisors (see below), whose sum is σ = 19531653120. Its totient is φ = 6859569024.

The previous prime is 12342353119. The next prime is 12342353129. The reversal of 12342353127 is 72135324321.

It is not a de Polignac number, because 12342353127 - 23 = 12342353119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342353129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5912878 + ... + 5914964.

It is an arithmetic number, because the mean of its divisors is an integer number (305182080).

Almost surely, 212342353127 is an apocalyptic number.

12342353127 is a deficient number, since it is larger than the sum of its proper divisors (7189299993).

12342353127 is a wasteful number, since it uses less digits than its factorization.

12342353127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492.

The product of its digits is 30240, while the sum is 33.

Adding to 12342353127 its reverse (72135324321), we get a palindrome (84477677448).

The spelling of 12342353127 in words is "twelve billion, three hundred forty-two million, three hundred fifty-three thousand, one hundred twenty-seven".

Divisors: 1 3 13 19 23 39 57 69 247 299 347 437 741 897 1041 1311 2087 4511 5681 6261 6593 7981 13533 17043 19779 23943 27131 39653 48001 81393 85709 103753 118959 144003 151639 257127 311259 454917 515489 624013 724189 912019 1546467 1872039 1971307 2172567 2736057 5913921 9414457 11856247 13759591 16656347 28243371 35568741 41278773 49969041 178874683 216532511 316470593 536624049 649597533 949411779 4114117709 12342353127