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12442402304231 = 534431100348163
BaseRepresentation
bin1011010100001111100011…
…1110000011000011100111
31122001111000102001201011112
42311003320332003003213
53112324014442213411
642243543302455235
72422635220365524
oct265037076030347
948044012051145
1012442402304231
113a6787a800a39
12148b50743451b
136c340c9c4b73
1431030340c14b
151689c717eb8b
hexb50f8f830e7

12442402304231 has 16 divisors (see below), whose sum is σ = 12707199824256. Its totient is φ = 12178723398816.

The previous prime is 12442402304197. The next prime is 12442402304243. The reversal of 12442402304231 is 13240320424421.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12442402304231 - 230 = 12441328562407 is a prime.

It is a super-2 number, since 2×124424023042312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442402354231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258315356 + ... + 258363518.

It is an arithmetic number, because the mean of its divisors is an integer number (794199989016).

Almost surely, 212442402304231 is an apocalyptic number.

12442402304231 is a deficient number, since it is larger than the sum of its proper divisors (264797520025).

12442402304231 is a wasteful number, since it uses less digits than its factorization.

12442402304231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59662.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 12442402304231 its reverse (13240320424421), we get a palindrome (25682722728652).

The spelling of 12442402304231 in words is "twelve trillion, four hundred forty-two billion, four hundred two million, three hundred four thousand, two hundred thirty-one".

Divisors: 1 53 443 11003 23479 48163 583159 2552639 4874329 21336209 258339437 529937489 1130819077 28086686917 234762307627 12442402304231