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11201000200200 = 2332527187644759
BaseRepresentation
bin1010001011111110111110…
…1000110101100000001000
31110122210201221222210112200
42202333233220311200020
52432004122022401300
635453400215240200
72234150140534026
oct242775750654010
943583657883480
1011201000200200
113629354670348
12130a9b4379060
13633332a20565
142aa1ba417716
1514656c84e200
hexa2fefa35808

11201000200200 has 144 divisors (see below), whose sum is σ = 38146505342400. Its totient is φ = 2944863868800.

The previous prime is 11201000200199. The next prime is 11201000200231. The reversal of 11201000200200 is 200200010211.

11201000200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43694580 + ... + 43950179.

It is an arithmetic number, because the mean of its divisors is an integer number (264906287100).

Almost surely, 211201000200200 is an apocalyptic number.

11201000200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201000200200 is an abundant number, since it is smaller than the sum of its proper divisors (26945505142200).

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

11201000200200 is a wasteful number, since it uses less digits than its factorization.

11201000200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87644852 (or 87644840 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11201000200200 its reverse (200200010211), we get a palindrome (11401200210411).

The spelling of 11201000200200 in words is "eleven trillion, two hundred one billion, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 71 72 75 90 100 120 142 150 180 200 213 225 284 300 355 360 426 450 568 600 639 710 852 900 1065 1278 1420 1704 1775 1800 2130 2556 2840 3195 3550 4260 5112 5325 6390 7100 8520 10650 12780 14200 15975 21300 25560 31950 42600 63900 127800 87644759 175289518 262934277 350579036 438223795 525868554 701158072 788802831 876447590 1051737108 1314671385 1577605662 1752895180 2103474216 2191118975 2629342770 3155211324 3505790360 3944014155 4382237950 5258685540 6222777889 6310422648 6573356925 7888028310 8764475900 10517371080 12445555778 13146713850 15776056620 17528951800 18668333667 19720070775 24891111556 26293427700 31113889445 31552113240 37336667334 39440141550 49782223112 52586855400 56005001001 62227778890 74673334668 78880283100 93341668335 112010002002 124455557780 149346669336 155569447225 157760566200 186683336670 224020004004 248911115560 280025005005 311138894450 373366673340 448040008008 466708341675 560050010010 622277788900 746733346680 933416683350 1120100020020 1244555577800 1400125025025 1866833366700 2240200040040 2800250050050 3733666733400 5600500100100 11201000200200