Search a number
-
+
22110211121 = 2316338915161
BaseRepresentation
bin10100100101110111…
…110000110000110001
32010001220021002201012
4110211313300300301
5330240203223441
614053550320305
71411624456625
oct244567606061
963056232635
1022110211121
119416701959
1243507b9095
13211492c47b
1410da66d185
1589614d9eb
hex525df0c31

22110211121 has 16 divisors (see below), whose sum is σ = 23274276480. Its totient is φ = 20963733120.

The previous prime is 22110211111. The next prime is 22110211129. The reversal of 22110211121 is 12111201122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22110211121 is a prime.

It is a super-2 number, since 2×221102111212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22110211096 and 22110211105.

It is not an unprimeable number, because it can be changed into a prime (22110211129) 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, 1450781 + ... + 1465941.

It is an arithmetic number, because the mean of its divisors is an integer number (1454642280).

Almost surely, 222110211121 is an apocalyptic number.

It is an amenable number.

22110211121 is a deficient number, since it is larger than the sum of its proper divisors (1164065359).

22110211121 is a wasteful number, since it uses less digits than its factorization.

22110211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15736.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22110211121 its reverse (12111201122), we get a palindrome (34221412243).

Subtracting from 22110211121 its reverse (12111201122), we obtain a palindrome (9999009999).

The spelling of 22110211121 in words is "twenty-two billion, one hundred ten million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 23 163 389 3749 8947 15161 63407 348703 1458361 2471243 5897629 56838589 135645467 961313527 22110211121