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11122122749 is a prime number
BaseRepresentation
bin10100101101110111…
…00001111111111101
31001201010020101011012
422112323201333331
5140234230411444
65035345405005
7542421324563
oct122673417775
931633211135
1011122122749
11479816a491
1221a4939765
13108331582a
147771bda33
15451663b9e
hex296ee1ffd

11122122749 has 2 divisors, whose sum is σ = 11122122750. Its totient is φ = 11122122748.

The previous prime is 11122122709. The next prime is 11122122751. The reversal of 11122122749 is 94722122111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11035502500 + 86620249 = 105050^2 + 9307^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11122122749 is a prime.

It is a super-2 number, since 2×111221227492 (a number of 21 digits) contains 22 as substring.

Together with 11122122751, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11122122709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5561061374 + 5561061375.

It is an arithmetic number, because the mean of its divisors is an integer number (5561061375).

Almost surely, 211122122749 is an apocalyptic number.

It is an amenable number.

11122122749 is a deficient number, since it is larger than the sum of its proper divisors (1).

11122122749 is an equidigital number, since it uses as much as digits as its factorization.

11122122749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 32.

The spelling of 11122122749 in words is "eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, seven hundred forty-nine".