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11022332321 = 7111311011321
BaseRepresentation
bin10100100001111101…
…10111000110100001
31001110011110111102102
422100332313012201
5140033204113241
65021422500145
7540100164440
oct122076670641
931404414372
1011022332321
114746901460
122177434655
131068746540
14767c44d57
15447a0139b
hex290fb71a1

11022332321 has 16 divisors (see below), whose sum is σ = 14799216768. Its totient is φ = 7928150400.

The previous prime is 11022332311. The next prime is 11022332329. The reversal of 11022332321 is 12323322011.

11022332321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11022332321 - 210 = 11022331297 is a prime.

It is a super-2 number, since 2×110223323212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11022332293 and 11022332302.

It is not an unprimeable number, because it can be changed into a prime (11022332329) 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 15 ways as a sum of consecutive naturals, for example, 5504660 + ... + 5506661.

It is an arithmetic number, because the mean of its divisors is an integer number (924951048).

Almost surely, 211022332321 is an apocalyptic number.

11022332321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11022332321 is a deficient number, since it is larger than the sum of its proper divisors (3776884447).

11022332321 is a wasteful number, since it uses less digits than its factorization.

11022332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11011352.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11022332321 its reverse (12323322011), we get a palindrome (23345654332).

It can be divided in two parts, 11022 and 332321, that added together give a palindrome (343343).

The spelling of 11022332321 in words is "eleven billion, twenty-two million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 11011321 77079247 121124531 143147173 847871717 1002030211 1574618903 11022332321