Search a number
-
+
13311301222049 is a prime number
BaseRepresentation
bin1100000110110100011101…
…1000010111111010100001
31202010112210110200010020012
43001231013120113322201
53221043021103101144
644151043302054305
72542465311336215
oct301550730277241
952115713603205
1013311301222049
114272322573426
1215ab99ba1a395
13757333c4975c
143403b0048945
151813ce085e9e
hexc1b47617ea1

13311301222049 has 2 divisors, whose sum is σ = 13311301222050. Its totient is φ = 13311301222048.

The previous prime is 13311301222033. The next prime is 13311301222123. The reversal of 13311301222049 is 94022210311331.

13311301222049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11366796475024 + 1944504747025 = 3371468^2 + 1394455^2 .

It is an emirp because it is prime and its reverse (94022210311331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13311301222049 - 24 = 13311301222033 is a prime.

It is not a weakly prime, because it can be changed into another prime (13311301222019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655650611024 + 6655650611025.

It is an arithmetic number, because the mean of its divisors is an integer number (6655650611025).

Almost surely, 213311301222049 is an apocalyptic number.

It is an amenable number.

13311301222049 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311301222049 is an equidigital number, since it uses as much as digits as its factorization.

13311301222049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 13311301222049 in words is "thirteen trillion, three hundred eleven billion, three hundred one million, two hundred twenty-two thousand, forty-nine".