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110302221130020 = 2234568087790821
BaseRepresentation
bin11001000101000110111100…
…101101010101100100100100
3112110112210022102220220110000
4121011012330231111210210
5103424142422102130040
61030332050231301300
732143033602655023
oct3105067455254444
9473483272826400
10110302221130020
1132166a00289337
121045538681a830
1349715bb31c28a
141d349280608ba
15cb4331db4130
hex6451bcb55924

110302221130020 has 60 divisors (see below), whose sum is σ = 346022152957404. Its totient is φ = 29413925634240.

The previous prime is 110302221129983. The next prime is 110302221130021. The reversal of 110302221130020 is 20031122203011.

110302221130020 is a `hidden beast` number, since 1 + 10 + 302 + 22 + 11 + 300 + 20 = 666.

110302221130020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 19500685057764 + 90801536072256 = 4415958^2 + 9528984^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 110302221129975 and 110302221130002.

It is not an unprimeable number, because it can be changed into a prime (110302221130021) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34043893791 + ... + 34043897030.

Almost surely, 2110302221130020 is an apocalyptic number.

110302221130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110302221130020 is an abundant number, since it is smaller than the sum of its proper divisors (235719931827384).

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

110302221130020 is a wasteful number, since it uses less digits than its factorization.

110302221130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68087790842 (or 68087790831 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110302221130020 its reverse (20031122203011), we get a palindrome (130333343333031).

The spelling of 110302221130020 in words is "one hundred ten trillion, three hundred two billion, two hundred twenty-one million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 68087790821 136175581642 204263372463 272351163284 340438954105 408526744926 612790117389 680877908210 817053489852 1021316862315 1225580234778 1361755816420 1838370352167 2042633724630 2451160469556 3063950586945 3676740704334 4085267449260 5515111056501 6127901173890 7353481408668 9191851760835 11030222113002 12255802347780 18383703521670 22060444226004 27575555282505 36767407043340 55151110565010 110302221130020