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1413131032141 is a prime number
BaseRepresentation
bin10100100100000101001…
…011000101011001001101
312000002112112100100020121
4110210011023011121031
5141123043021012031
63001103342144541
7204044463404413
oct24440513053115
95002475310217
101413131032141
114a533a69a074
121a9a5a882151
13a334719608a
144c5785232b3
1526b5ad46011
hex149052c564d

1413131032141 has 2 divisors, whose sum is σ = 1413131032142. Its totient is φ = 1413131032140.

The previous prime is 1413131032133. The next prime is 1413131032151. The reversal of 1413131032141 is 1412301313141.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1412377749225 + 753282916 = 1188435^2 + 27446^2 .

It is a cyclic number.

It is not a de Polignac number, because 1413131032141 - 23 = 1413131032133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1413131032151) 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 as a sum of consecutive naturals, namely, 706565516070 + 706565516071.

It is an arithmetic number, because the mean of its divisors is an integer number (706565516071).

Almost surely, 21413131032141 is an apocalyptic number.

It is an amenable number.

1413131032141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1413131032141 is an equidigital number, since it uses as much as digits as its factorization.

1413131032141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 1413131032141 its reverse (1412301313141), we get a palindrome (2825432345282).

The spelling of 1413131032141 in words is "one trillion, four hundred thirteen billion, one hundred thirty-one million, thirty-two thousand, one hundred forty-one".