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2110202212120 = 235607823110559
BaseRepresentation
bin11110101101010001110…
…110100110111100011000
321110201210121202021012221
4132231101312212330120
5234033143231241440
64253225152513424
7305312530565152
oct36552166467430
97421717667187
102110202212120
11743a28154952
122a0b7a54b874
13123cb6911402
14741c486dad2
1539d57c19d4a
hex1eb51da6f18

2110202212120 has 64 divisors (see below), whose sum is σ = 4756805222400. Its totient is φ = 842508128640.

The previous prime is 2110202212043. The next prime is 2110202212121. The reversal of 2110202212120 is 212122020112.

It is a happy number.

It is a super-2 number, since 2×21102022121202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2110202212094 and 2110202212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110202212121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 199843401 + ... + 199853959.

It is an arithmetic number, because the mean of its divisors is an integer number (74325081600).

Almost surely, 22110202212120 is an apocalyptic number.

2110202212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110202212120 is an abundant number, since it is smaller than the sum of its proper divisors (2646603010280).

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

2110202212120 is a wasteful number, since it uses less digits than its factorization.

2110202212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19408 (or 19404 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2110202212120 its reverse (212122020112), we get a palindrome (2322324232232).

The spelling of 2110202212120 in words is "two trillion, one hundred ten billion, two hundred two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 607 1214 2428 3035 4856 6070 8231 10559 12140 16462 21118 24280 32924 41155 42236 52795 65848 82310 84472 105590 164620 211180 329240 422360 4996217 6409313 9992434 12818626 19984868 24981085 25637252 32046565 39969736 49962170 51274504 64093130 86911129 99924340 128186260 173822258 199848680 256372520 347644516 434555645 695289032 869111290 1738222580 3476445160 52755055303 105510110606 211020221212 263775276515 422040442424 527550553030 1055101106060 2110202212120