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11112122321 = 181353317377
BaseRepresentation
bin10100101100101010…
…11000011111010001
31001200102102022010222
422112111120133101
5140224200403241
65034351202425
7542240324036
oct122625303721
931612368128
1011112122321
114792559a73
1221a1516415
131081223a11
14775b3938d
1545083aa4b
hex2965587d1

11112122321 has 8 divisors (see below), whose sum is σ = 11177321064. Its totient is φ = 11046965760.

The previous prime is 11112122311. The next prime is 11112122353. The reversal of 11112122321 is 12322121111.

It is a happy number.

11112122321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21715600 + 11090406721 = 4660^2 + 105311^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11112122321 - 214 = 11112105937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11112122321.

It is not an unprimeable number, because it can be changed into a prime (11112122311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630785 + ... + 648161.

It is an arithmetic number, because the mean of its divisors is an integer number (1397165133).

Almost surely, 211112122321 is an apocalyptic number.

It is an amenable number.

11112122321 is a deficient number, since it is larger than the sum of its proper divisors (65198743).

11112122321 is a wasteful number, since it uses less digits than its factorization.

11112122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21091.

The product of its digits is 48, while the sum is 17.

Adding to 11112122321 its reverse (12322121111), we get a palindrome (23434243432).

The spelling of 11112122321 in words is "eleven billion, one hundred twelve million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 181 3533 17377 639473 3145237 61392941 11112122321