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13127281 = 171934001
BaseRepresentation
bin110010000100…
…111001110001
3220200221020121
4302010321301
511330033111
61145210241
7216402646
oct62047161
926627217
1013127281
1174567a2
124490981
13294812b
141a59dcd
151244871
hexc84e71

13127281 has 8 divisors (see below), whose sum is σ = 13974984. Its totient is φ = 12288000.

The previous prime is 13127269. The next prime is 13127293. The reversal of 13127281 is 18272131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13127269) and next prime (13127293).

It can be written as a sum of positive squares in 4 ways, for example, as 167281 + 12960000 = 409^2 + 3600^2 .

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

It is a 4-Lehmer number, since φ(13127281) divides (13127281-1)4.

It is a cyclic number.

It is not a de Polignac number, because 13127281 - 25 = 13127249 is a prime.

It is a super-2 number, since 2×131272812 = 344651012905922, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (13127221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1281 + ... + 5281.

It is an arithmetic number, because the mean of its divisors is an integer number (1746873).

Almost surely, 213127281 is an apocalyptic number.

It is an amenable number.

13127281 is a deficient number, since it is larger than the sum of its proper divisors (847703).

13127281 is a wasteful number, since it uses less digits than its factorization.

13127281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211.

The product of its digits is 672, while the sum is 25.

The square root of 13127281 is about 3623.1589807791. The cubic root of 13127281 is about 235.8983630624.

The spelling of 13127281 in words is "thirteen million, one hundred twenty-seven thousand, two hundred eighty-one".

Divisors: 1 17 193 3281 4001 68017 772193 13127281