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131333441 = 972934621
BaseRepresentation
bin1111101001111…
…11110101000001
3100011010102121112
413310333311001
5232110132231
621010533105
73153213221
oct764776501
9304112545
10131333441
1168152838
1237b97195
13212946c5
141362a081
15b7e392b
hex7d3fd41

131333441 has 8 divisors (see below), whose sum is σ = 133169064. Its totient is φ = 129507840.

The previous prime is 131333437. The next prime is 131333443. The reversal of 131333441 is 144333131.

It can be written as a sum of positive squares in 4 ways, for example, as 39250225 + 92083216 = 6265^2 + 9596^2 .

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 131333441 - 22 = 131333437 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131333443) 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, 26111 + ... + 30731.

It is an arithmetic number, because the mean of its divisors is an integer number (16646133).

Almost surely, 2131333441 is an apocalyptic number.

It is an amenable number.

131333441 is a deficient number, since it is larger than the sum of its proper divisors (1835623).

131333441 is an equidigital number, since it uses as much as digits as its factorization.

131333441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011.

The product of its digits is 1296, while the sum is 23.

The square root of 131333441 is about 11460.0803225806. The cubic root of 131333441 is about 508.3058497249.

Adding to 131333441 its reverse (144333131), we get a palindrome (275666572).

The spelling of 131333441 in words is "one hundred thirty-one million, three hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 97 293 4621 28421 448237 1353953 131333441