Search a number
-
+
200100020211200 = 295219318095709
BaseRepresentation
bin101101011111110101101010…
…100111111100111000000000
3222020111101010110022020101002
4231133311222213330320000
5202211414320133224300
61545324402533431132
760101515016142014
oct5537655247747000
9866441113266332
10200100020211200
1158837a3a8a341a
121a538883a9b4a8
138786474026bc5
14375ac6d626544
1518200d9e6c5d5
hexb5fd6a9fce00

200100020211200 has 120 divisors (see below), whose sum is σ = 496020233376360. Its totient is φ = 79998548172800.

The previous prime is 200100020211187. The next prime is 200100020211229. The reversal of 200100020211200 is 2112020001002.

It is a happy number.

It is a congruent number.

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, 20668946 + ... + 28764654.

It is an arithmetic number, because the mean of its divisors is an integer number (4133501944803).

Almost surely, 2200100020211200 is an apocalyptic number.

200100020211200 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 200100020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248010116688180).

200100020211200 is an abundant number, since it is smaller than the sum of its proper divisors (295920213165160).

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

200100020211200 is an equidigital number, since it uses as much as digits as its factorization.

200100020211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8097668 (or 8097647 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200100020211200 its reverse (2112020001002), we get a palindrome (202212040212202).

The spelling of 200100020211200 in words is "two hundred trillion, one hundred billion, twenty million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 1931 2560 3200 3862 6400 7724 9655 12800 15448 19310 30896 38620 48275 61792 77240 96550 123584 154480 193100 247168 308960 386200 494336 617920 772400 988672 1235840 1544800 2471680 3089600 4943360 6179200 8095709 12358400 16191418 24716800 32382836 40478545 64765672 80957090 129531344 161914180 202392725 259062688 323828360 404785450 518125376 647656720 809570900 1036250752 1295313440 1619141800 2072501504 2590626880 3238283600 4145003008 5181253760 6476567200 10362507520 12953134400 15632814079 20725015040 25906268800 31265628158 51812537600 62531256316 78164070395 103625075200 125062512632 156328140790 250125025264 312656281580 390820351975 500250050528 625312563160 781640703950 1000500101056 1250625126320 1563281407900 2001000202112 2501250252640 3126562815800 4002000404224 5002500505280 6253125631600 8004000808448 10005001010560 12506251263200 20010002021120 25012502526400 40020004042240 50025005052800 100050010105600 200100020211200