Search a number
-
+
12421131013 is a prime number
BaseRepresentation
bin10111001000101101…
…10110101100000101
31012001122112211111101
423210112312230011
5200414302143023
65412311540101
7616543604644
oct134426665405
935048484441
1012421131013
1152a444a635
1224a798a631
13122c494285
1485b92335b
154ca70a1ad
hex2e45b6b05

12421131013 has 2 divisors, whose sum is σ = 12421131014. Its totient is φ = 12421131012.

The previous prime is 12421131011. The next prime is 12421131031. The reversal of 12421131013 is 31013112421.

12421131013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (12421131031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10592114724 + 1829016289 = 102918^2 + 42767^2 .

It is a cyclic number.

It is not a de Polignac number, because 12421131013 - 21 = 12421131011 is a prime.

It is a super-2 number, since 2×124211310132 (a number of 21 digits) contains 22 as substring.

Together with 12421131011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12421131011) 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, 6210565506 + 6210565507.

It is an arithmetic number, because the mean of its divisors is an integer number (6210565507).

Almost surely, 212421131013 is an apocalyptic number.

It is an amenable number.

12421131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12421131013 is an equidigital number, since it uses as much as digits as its factorization.

12421131013 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 19.

Adding to 12421131013 its reverse (31013112421), we get a palindrome (43434243434).

The spelling of 12421131013 in words is "twelve billion, four hundred twenty-one million, one hundred thirty-one thousand, thirteen".