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22011122110112 = 254116776769901
BaseRepresentation
bin1010000000100110111010…
…00111010100111010100000
32212221020112221112002102222
411000103131013110322200
510341112234230010422
6114451434144330212
74431152060632652
oct500233507247240
985836487462388
1022011122110112
117016956669863
122575aa0313968
13c38841b57c45
145614b5cc66d2
1528285e4c3842
hex1404dd1d4ea0

22011122110112 has 24 divisors (see below), whose sum is σ = 44391333160692. Its totient is φ = 10737132736000.

The previous prime is 22011122110111. The next prime is 22011122110123. The reversal of 22011122110112 is 21101122111022.

It can be written as a sum of positive squares in 2 ways, for example, as 16041915415696 + 5969206694416 = 4005236^2 + 2443196^2 .

It is a super-3 number, since 3×220111221101123 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22011122110111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8388383639 + ... + 8388386262.

Almost surely, 222011122110112 is an apocalyptic number.

It is an amenable number.

22011122110112 is an abundant number, since it is smaller than the sum of its proper divisors (22380211050580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22011122110112 is a wasteful number, since it uses less digits than its factorization.

22011122110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16776769952 (or 16776769944 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 22011122110112 its reverse (21101122111022), we get a palindrome (43112244221134).

The spelling of 22011122110112 in words is "twenty-two trillion, eleven billion, one hundred twenty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 16776769901 33553539802 67107079604 134214159208 268428318416 536856636832 687847565941 1375695131882 2751390263764 5502780527528 11005561055056 22011122110112