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110223121044132 = 223217180103138961
BaseRepresentation
bin11001000011111101010001…
…111110011101001010100100
3112110021020010211011012112100
4121003331101332131022210
5103421343422441403012
61030231445222052100
732134233456223515
oct3103752176351244
9473236124135470
10110223121044132
11321363aa356028
1210441b9027a030
134966cc3780a25
141d30b82a1ca0c
15cb22529068dc
hex643f51f9d2a4

110223121044132 has 36 divisors (see below), whose sum is σ = 295008941619756. Its totient is φ = 34579802680320.

The previous prime is 110223121044097. The next prime is 110223121044209. The reversal of 110223121044132 is 231440121322011.

110223121044132 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 2 + 3 + 1 + 210 + 441 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90345291140196 + 19877829903936 = 9505014^2 + 4458456^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 110223121044096 and 110223121044105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90051568869 + ... + 90051570092.

It is an arithmetic number, because the mean of its divisors is an integer number (8194692822771).

Almost surely, 2110223121044132 is an apocalyptic number.

110223121044132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110223121044132 is an abundant number, since it is smaller than the sum of its proper divisors (184785820575624).

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

110223121044132 is a wasteful number, since it uses less digits than its factorization.

110223121044132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180103138988 (or 180103138983 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 110223121044132 its reverse (231440121322011), we get a palindrome (341663242366143).

The spelling of 110223121044132 in words is "one hundred ten trillion, two hundred twenty-three billion, one hundred twenty-one million, forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 180103138961 360206277922 540309416883 720412555844 1080618833766 1620928250649 2161237667532 3061753362337 3241856501298 6123506724674 6483713002596 9185260087011 12247013449348 18370520174022 27555780261033 36741040348044 55111560522066 110223121044132