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13201131241 = 173121762701
BaseRepresentation
bin11000100101101100…
…10100011011101001
31021002000020221122201
430102312110123221
5204013442144431
610021534020201
7645064523044
oct142266243351
937060227581
1013201131241
115664770321
122685047661
131324c63b7c
148d3363c5b
15523e31461
hex312d946e9

13201131241 has 8 divisors (see below), whose sum is σ = 13288560264. Its totient is φ = 13113830400.

The previous prime is 13201131143. The next prime is 13201131263. The reversal of 13201131241 is 14213110231.

13201131241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3433960000 + 9767171241 = 58600^2 + 98829^2 .

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 13201131241 - 225 = 13167576809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13201131271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179191 + ... + 241891.

It is an arithmetic number, because the mean of its divisors is an integer number (1661070033).

Almost surely, 213201131241 is an apocalyptic number.

It is an amenable number.

13201131241 is a deficient number, since it is larger than the sum of its proper divisors (87429023).

13201131241 is a wasteful number, since it uses less digits than its factorization.

13201131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64091.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13201131241 its reverse (14213110231), we get a palindrome (27414241472).

The spelling of 13201131241 in words is "thirteen billion, two hundred one million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 173 1217 62701 210541 10847273 76307117 13201131241