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13132042241 = 176112663493
BaseRepresentation
bin11000011101011101…
…10001000000000001
31020220012020212100212
430032232301000001
5203343300322431
610011025123505
7643265342303
oct141656610001
936805225325
1013132042241
11562977177a
122665a89595
131313853bc6
148c80db973
1551cd3572b
hex30ebb1001

13132042241 has 8 divisors (see below), whose sum is σ = 14132459304. Its totient is φ = 12156952320.

The previous prime is 13132042201. The next prime is 13132042271. The reversal of 13132042241 is 14224023131.

It can be written as a sum of positive squares in 4 ways, for example, as 2162622016 + 10969420225 = 46504^2 + 104735^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13132042241 - 26 = 13132042177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13132042201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6330710 + ... + 6332783.

It is an arithmetic number, because the mean of its divisors is an integer number (1766557413).

Almost surely, 213132042241 is an apocalyptic number.

It is an amenable number.

13132042241 is a deficient number, since it is larger than the sum of its proper divisors (1000417063).

13132042241 is a wasteful number, since it uses less digits than its factorization.

13132042241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12663571.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 13132042241 its reverse (14224023131), we get a palindrome (27356065372).

The spelling of 13132042241 in words is "thirteen billion, one hundred thirty-two million, forty-two thousand, two hundred forty-one".

Divisors: 1 17 61 1037 12663493 215279381 772473073 13132042241