Search a number
-
+
12303013330133 is a prime number
BaseRepresentation
bin1011001100001000010010…
…1111010011110011010101
31121120011020011010011101022
42303002010233103303111
53103033032403031013
642055532025210525
72406602065560041
oct263020457236325
947504204104338
1012303013330133
113a13751316689
1214684a6330a45
136b32278bc276
1430767cdd7021
15165069e08008
hexb3084bd3cd5

12303013330133 has 2 divisors, whose sum is σ = 12303013330134. Its totient is φ = 12303013330132.

The previous prime is 12303013330123. The next prime is 12303013330141. The reversal of 12303013330133 is 33103331030321.

It is a happy number.

12303013330133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11319342122929 + 983671207204 = 3364423^2 + 991802^2 .

It is a cyclic number.

It is not a de Polignac number, because 12303013330133 - 214 = 12303013313749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12303013330123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6151506665066 + 6151506665067.

It is an arithmetic number, because the mean of its divisors is an integer number (6151506665067).

Almost surely, 212303013330133 is an apocalyptic number.

It is an amenable number.

12303013330133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12303013330133 is an equidigital number, since it uses as much as digits as its factorization.

12303013330133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 12303013330133 its reverse (33103331030321), we get a palindrome (45406344360454).

The spelling of 12303013330133 in words is "twelve trillion, three hundred three billion, thirteen million, three hundred thirty thousand, one hundred thirty-three".