Search a number
-
+
131415041 is a prime number
BaseRepresentation
bin1111101010100…
…11110000000001
3100011021120112202
413311103300001
5232120240131
621012402545
73154003142
oct765236001
9304246482
10131415041
11681a907a
1238016455
13212c28a4
141364bac9
15b80cbcb
hex7d53c01

131415041 has 2 divisors, whose sum is σ = 131415042. Its totient is φ = 131415040.

The previous prime is 131415017. The next prime is 131415043. The reversal of 131415041 is 140514131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112890625 + 18524416 = 10625^2 + 4304^2 .

It is an emirp because it is prime and its reverse (140514131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131415041 is a prime.

Together with 131415043, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131415043) 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, 65707520 + 65707521.

It is an arithmetic number, because the mean of its divisors is an integer number (65707521).

Almost surely, 2131415041 is an apocalyptic number.

It is an amenable number.

131415041 is a deficient number, since it is larger than the sum of its proper divisors (1).

131415041 is an equidigital number, since it uses as much as digits as its factorization.

131415041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 131415041 is about 11463.6399542205. The cubic root of 131415041 is about 508.4111013391.

Adding to 131415041 its reverse (140514131), we get a palindrome (271929172).

The spelling of 131415041 in words is "one hundred thirty-one million, four hundred fifteen thousand, forty-one".