Search a number
-
+
1312141034161 is a prime number
BaseRepresentation
bin10011000110000001101…
…100110100001010110001
311122102212100211220002001
4103012001230310022301
5132444231101043121
62442442252054001
7163541035523416
oct23060154641261
94572770756061
101312141034161
11466526451921
12192375464301
139697153bc19
1447717bda10d
15241e9c53991
hex13181b342b1

1312141034161 has 2 divisors, whose sum is σ = 1312141034162. Its totient is φ = 1312141034160.

The previous prime is 1312141034131. The next prime is 1312141034201. The reversal of 1312141034161 is 1614301412131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1290075714225 + 22065319936 = 1135815^2 + 148544^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312141034161 - 25 = 1312141034129 is a prime.

It is not a weakly prime, because it can be changed into another prime (1312141034131) 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, 656070517080 + 656070517081.

It is an arithmetic number, because the mean of its divisors is an integer number (656070517081).

Almost surely, 21312141034161 is an apocalyptic number.

It is an amenable number.

1312141034161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312141034161 is an equidigital number, since it uses as much as digits as its factorization.

1312141034161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 1312141034161 its reverse (1614301412131), we get a palindrome (2926442446292).

The spelling of 1312141034161 in words is "one trillion, three hundred twelve billion, one hundred forty-one million, thirty-four thousand, one hundred sixty-one".