Search a number
-
+
200110212110000 = 245450593955529
BaseRepresentation
bin101101011111111111001010…
…000110111101011010110000
3222020112100102202011100011102
4231133333022012331122300
5202212101203300010000
61545333210133303532
760102325413640463
oct5537771206753260
9866470382140142
10200110212110000
115884129a967885
121a53a849194ba8
1387874096c315a
14375b55905d2da
1518204d4ad43d5
hexb5ffca1bd6b0

200110212110000 has 100 divisors (see below), whose sum is σ = 484582724359800. Its totient is φ = 80028242496000.

The previous prime is 200110212109993. The next prime is 200110212110023. The reversal of 200110212110000 is 11212011002.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48612236 + ... + 52567764.

It is an arithmetic number, because the mean of its divisors is an integer number (4845827243598).

Almost surely, 2200110212110000 is an apocalyptic number.

200110212110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200110212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242291362179900).

200110212110000 is an abundant number, since it is smaller than the sum of its proper divisors (284472512249800).

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

200110212110000 is an equidigital number, since it uses as much as digits as its factorization.

200110212110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960616 (or 3960595 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200110212110000 its reverse (11212011002), we get a palindrome (200121424121002).

The spelling of 200110212110000 in words is "two hundred trillion, one hundred ten billion, two hundred twelve million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 5059 10000 10118 20236 25295 40472 50590 80944 101180 126475 202360 252950 404720 505900 632375 1011800 1264750 2023600 2529500 3161875 3955529 5059000 6323750 7911058 10118000 12647500 15822116 19777645 25295000 31644232 39555290 50590000 63288464 79110580 98888225 158221160 197776450 316442320 395552900 494441125 791105800 988882250 1582211600 1977764500 2472205625 3955529000 4944411250 7911058000 9888822500 19777645000 20011021211 39555290000 40022042422 80044084844 100055106055 160088169688 200110212110 320176339376 400220424220 500275530275 800440848440 1000551060550 1600881696880 2001102121100 2501377651375 4002204242200 5002755302750 8004408484400 10005510605500 12506888256875 20011021211000 25013776513750 40022042422000 50027553027500 100055106055000 200110212110000