Search a number
-
+
13000223141 is a prime number
BaseRepresentation
bin11000001101101111…
…11010100110100101
31020120000012202112222
430012313322212211
5203111024120031
65545555522125
7640105034123
oct140667724645
936500182488
1013000223141
115571318074
1226298b9345
1312c244c439
148b47c6913
15511497e7b
hex306dfa9a5

13000223141 has 2 divisors, whose sum is σ = 13000223142. Its totient is φ = 13000223140.

The previous prime is 13000223083. The next prime is 13000223189. The reversal of 13000223141 is 14132200031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11140802500 + 1859420641 = 105550^2 + 43121^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000223141 - 210 = 13000222117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000223941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500111570 + 6500111571.

It is an arithmetic number, because the mean of its divisors is an integer number (6500111571).

Almost surely, 213000223141 is an apocalyptic number.

It is an amenable number.

13000223141 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000223141 is an equidigital number, since it uses as much as digits as its factorization.

13000223141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13000223141 its reverse (14132200031), we get a palindrome (27132423172).

The spelling of 13000223141 in words is "thirteen billion, two hundred twenty-three thousand, one hundred forty-one".