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220022002111122 = 23279978611581091
BaseRepresentation
bin110010000001101111011101…
…010001110101001010010010
31001212000220020121221121121200
4302001233131101311022102
5212314320030020023442
62055540413513132030
764226031215240121
oct6201573521651222
91055026217847550
10220022002111122
11641188972590a2
12208158a33ba016
13959cca7983783
143c4919c011ab8
151a6842581e34c
hexc81bdd475292

220022002111122 has 48 divisors (see below), whose sum is σ = 482753934948480. Its totient is φ = 72411518743200.

The previous prime is 220022002111057. The next prime is 220022002111151. The reversal of 220022002111122 is 221111200220022.

It is a happy number.

220022002111122 is a `hidden beast` number, since 2 + 200 + 220 + 0 + 211 + 11 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220022002111095 and 220022002111104.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 138367797 + ... + 139948887.

It is an arithmetic number, because the mean of its divisors is an integer number (10057373644760).

Almost surely, 2220022002111122 is an apocalyptic number.

220022002111122 is an abundant number, since it is smaller than the sum of its proper divisors (262731932837358).

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

220022002111122 is a wasteful number, since it uses less digits than its factorization.

220022002111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679039 (or 1679036 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220022002111122 its reverse (221111200220022), we get a palindrome (441133202331144).

The spelling of 220022002111122 in words is "two hundred twenty trillion, twenty-two billion, two million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 79 158 237 474 711 1422 97861 195722 293583 587166 880749 1581091 1761498 3162182 4743273 7731019 9486546 14229819 15462038 23193057 28459638 46386114 69579171 124906189 139158342 249812378 374718567 749437134 1124155701 2248311402 154727146351 309454292702 464181439053 928362878106 1392544317159 2785088634318 12223444561729 24446889123458 36670333685187 73340667370374 110011001055561 220022002111122