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131321401 = 41278121
BaseRepresentation
bin1111101001111…
…00111000111001
3100011002211002121
413310330320321
5232104241101
621010401241
73153133141
oct764747071
9304084077
10131321401
1168144792
1237b90221
132128c093
1413625921
15b7e00a1
hex7d3ce39

131321401 has 6 divisors (see below), whose sum is σ = 134604206. Its totient is φ = 128116800.

The previous prime is 131321389. The next prime is 131321417. The reversal of 131321401 is 104123131.

It can be written as a sum of positive squares in 3 ways, for example, as 2725801 + 128595600 = 1651^2 + 11340^2 .

It is a de Polignac number, because none of the positive numbers 2k-131321401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131321101) 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 5 ways as a sum of consecutive naturals, for example, 37380 + ... + 40741.

Almost surely, 2131321401 is an apocalyptic number.

It is an amenable number.

131321401 is a deficient number, since it is larger than the sum of its proper divisors (3282805).

131321401 is an frugal number, since it uses more digits than its factorization.

131321401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78203 (or 78162 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131321401 is about 11459.5550088125. Note that the first 3 decimals coincide. The cubic root of 131321401 is about 508.2903162619.

Adding to 131321401 its reverse (104123131), we get a palindrome (235444532).

The spelling of 131321401 in words is "one hundred thirty-one million, three hundred twenty-one thousand, four hundred one".

Divisors: 1 41 1681 78121 3202961 131321401