Search a number
-
+
131424401 is a prime number
BaseRepresentation
bin1111101010101…
…10000010010001
3100011022001101102
413311112002101
5232121040101
621012514145
73154042343
oct765260221
9304261342
10131424401
1168205109
123801b955
13212c6c24
1413651293
15b81086b
hex7d56091

131424401 has 2 divisors, whose sum is σ = 131424402. Its totient is φ = 131424400.

The previous prime is 131424389. The next prime is 131424409. The reversal of 131424401 is 104424131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115584001 + 15840400 = 10751^2 + 3980^2 .

It is a cyclic number.

It is not a de Polignac number, because 131424401 - 210 = 131423377 is a prime.

It is not a weakly prime, because it can be changed into another prime (131424409) 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 as a sum of consecutive naturals, namely, 65712200 + 65712201.

It is an arithmetic number, because the mean of its divisors is an integer number (65712201).

Almost surely, 2131424401 is an apocalyptic number.

It is an amenable number.

131424401 is a deficient number, since it is larger than the sum of its proper divisors (1).

131424401 is an equidigital number, since it uses as much as digits as its factorization.

131424401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 131424401 is about 11464.0481942462. The cubic root of 131424401 is about 508.4231715327.

Adding to 131424401 its reverse (104424131), we get a palindrome (235848532).

The spelling of 131424401 in words is "one hundred thirty-one million, four hundred twenty-four thousand, four hundred one".