Search a number
-
+
11313322322369 is a prime number
BaseRepresentation
bin1010010010100001011010…
…0011101110100111000001
31111001112122212212210200112
42210220112203232213001
52440324141003303434
640021134000201105
72245234450033664
oct244502643564701
944045585783615
1011313322322369
113671a53571191
121328720909195
13640ac3339942
142b17d3b876db
15149443737dce
hexa4a168ee9c1

11313322322369 has 2 divisors, whose sum is σ = 11313322322370. Its totient is φ = 11313322322368.

The previous prime is 11313322322251. The next prime is 11313322322399. The reversal of 11313322322369 is 96322322331311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6423629422144 + 4889692900225 = 2534488^2 + 2211265^2 .

It is a cyclic number.

It is not a de Polignac number, because 11313322322369 - 216 = 11313322256833 is a prime.

It is a super-3 number, since 3×113133223223693 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (11313322322399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5656661161184 + 5656661161185.

It is an arithmetic number, because the mean of its divisors is an integer number (5656661161185).

Almost surely, 211313322322369 is an apocalyptic number.

It is an amenable number.

11313322322369 is a deficient number, since it is larger than the sum of its proper divisors (1).

11313322322369 is an equidigital number, since it uses as much as digits as its factorization.

11313322322369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 209952, while the sum is 41.

The spelling of 11313322322369 in words is "eleven trillion, three hundred thirteen billion, three hundred twenty-two million, three hundred twenty-two thousand, three hundred sixty-nine".