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131461601 = 11310091153
BaseRepresentation
bin1111101010111…
…11000111100001
3100011100221102012
413311133013201
5232123232401
621013402305
73154255655
oct765370741
9304327365
10131461601
1168230057
1238039395
132130ab3b
1413660a65
15b81b8bb
hex7d5f1e1

131461601 has 8 divisors (see below), whose sum is σ = 132871560. Its totient is φ = 130056192.

The previous prime is 131461597. The next prime is 131461639. The reversal of 131461601 is 106164131.

It can be written as a sum of positive squares in 4 ways, for example, as 1957201 + 129504400 = 1399^2 + 11380^2 .

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 131461601 - 22 = 131461597 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131461661) 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, 113441 + ... + 114593.

It is an arithmetic number, because the mean of its divisors is an integer number (16608945).

Almost surely, 2131461601 is an apocalyptic number.

It is an amenable number.

131461601 is a deficient number, since it is larger than the sum of its proper divisors (1409959).

131461601 is a wasteful number, since it uses less digits than its factorization.

131461601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 131461601 is about 11465.6705429731. The cubic root of 131461601 is about 508.4711371505.

The spelling of 131461601 in words is "one hundred thirty-one million, four hundred sixty-one thousand, six hundred one".

Divisors: 1 113 1009 1153 114017 130289 1163377 131461601