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12127705431 = 329139398913
BaseRepresentation
bin10110100101101111…
…00001100101010111
31011022012102021021020
423102313201211113
5144314143033211
65323230452223
7606351536532
oct132267414527
934265367236
1012127705431
115163856656
122425664073
1311b3758a7a
14830981a19
154aea99306
hex2d2de1957

12127705431 has 8 divisors (see below), whose sum is σ = 16727869680. Its totient is φ = 7806339072.

The previous prime is 12127705409. The next prime is 12127705433. The reversal of 12127705431 is 13450772121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12127705431 - 25 = 12127705399 is a prime.

It is a super-2 number, since 2×121277054312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12127705392 and 12127705401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127705433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69699370 + ... + 69699543.

It is an arithmetic number, because the mean of its divisors is an integer number (2090983710).

Almost surely, 212127705431 is an apocalyptic number.

12127705431 is a deficient number, since it is larger than the sum of its proper divisors (4600164249).

12127705431 is a wasteful number, since it uses less digits than its factorization.

12127705431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139398945.

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 12127705431 in words is "twelve billion, one hundred twenty-seven million, seven hundred five thousand, four hundred thirty-one".

Divisors: 1 3 29 87 139398913 418196739 4042568477 12127705431