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11322120013 is a prime number
BaseRepresentation
bin10101000101101100…
…11101011101001101
31002020001120021211021
422202312131131031
5141141430320023
65111252154141
7550400301151
oct124266353515
932201507737
1011322120013
114890050386
12223b908951
1310b589b7c9
147959a1061
15463ebc35d
hex2a2d9d74d

11322120013 has 2 divisors, whose sum is σ = 11322120014. Its totient is φ = 11322120012.

The previous prime is 11322119951. The next prime is 11322120041. The reversal of 11322120013 is 31002122311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10768835529 + 553284484 = 103773^2 + 23522^2 .

It is a cyclic number.

It is not a de Polignac number, because 11322120013 - 217 = 11321988941 is a prime.

It is a super-3 number, since 3×113221200133 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11322120053) 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, 5661060006 + 5661060007.

It is an arithmetic number, because the mean of its divisors is an integer number (5661060007).

Almost surely, 211322120013 is an apocalyptic number.

It is an amenable number.

11322120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11322120013 is an equidigital number, since it uses as much as digits as its factorization.

11322120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11322120013 its reverse (31002122311), we get a palindrome (42324242324).

The spelling of 11322120013 in words is "eleven billion, three hundred twenty-two million, one hundred twenty thousand, thirteen".