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200112220111120 = 24517147141338317
BaseRepresentation
bin101101100000000001000001…
…110010111000000100010000
3222020112112121200120100212021
4231200001001302320010100
5202212114311322023440
61545334141303541224
760102426235445242
oct5540010162700420
9866475550510767
10200112220111120
1158842130379839
121a53b10975a814
13878766970c2b5
14375b6a99dc092
1518205a102784a
hexb60041cb8110

200112220111120 has 40 divisors (see below), whose sum is σ = 492629200688664. Its totient is φ = 75336365217792.

The previous prime is 200112220111087. The next prime is 200112220111121. The reversal of 200112220111120 is 21111022211002.

It can be written as a sum of positive squares in 4 ways, for example, as 59441139396864 + 140671080714256 = 7709808^2 + 11860484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 200112220111094 and 200112220111103.

It is not an unprimeable number, because it can be changed into a prime (200112220111121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73570667799 + ... + 73570670518.

Almost surely, 2200112220111120 is an apocalyptic number.

200112220111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200112220111120 is an abundant number, since it is smaller than the sum of its proper divisors (292516980577544).

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

200112220111120 is a wasteful number, since it uses less digits than its factorization.

200112220111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147141338347 (or 147141338341 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 200112220111120 its reverse (21111022211002), we get a palindrome (221223242322122).

The spelling of 200112220111120 in words is "two hundred trillion, one hundred twelve billion, two hundred twenty million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 147141338317 294282676634 588565353268 735706691585 1177130706536 1471413383170 2354261413072 2501402751389 2942826766340 5002805502778 5885653532680 10005611005556 11771307065360 12507013756945 20011222011112 25014027513890 40022444022224 50028055027780 100056110055560 200112220111120