Search a number
-
+
11200120111000 = 235395311879901
BaseRepresentation
bin1010001011111011101100…
…1011100011111110011000
31110122201110121221122010101
42202332323023203332120
52432000321222023000
635453133020025144
72234116263103222
oct242767313437630
943581417848111
1011200120111000
113628a428a82a7
12130a7a96921b4
136332225a8812
142aa1355a1412
1514651a456e6a
hexa2fbb2e3f98

11200120111000 has 128 divisors (see below), whose sum is σ = 26260536519360. Its totient is φ = 4471125120000.

The previous prime is 11200120110983. The next prime is 11200120111007. The reversal of 11200120111000 is 11102100211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200120111007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1131206050 + ... + 1131215950.

Almost surely, 211200120111000 is an apocalyptic number.

11200120111000 is a gapful number since it is divisible by the number (10) 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 11200120111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13130268259680).

11200120111000 is an abundant number, since it is smaller than the sum of its proper divisors (15060416408360).

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

11200120111000 is a wasteful number, since it uses less digits than its factorization.

11200120111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12062 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11200120111000 its reverse (11102100211), we get a palindrome (11211222211211).

The spelling of 11200120111000 in words is "eleven trillion, two hundred billion, one hundred twenty million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 953 1000 1187 1906 2374 3812 4748 4765 5935 7624 9496 9530 9901 11870 19060 19802 23740 23825 29675 38120 39604 47480 47650 49505 59350 79208 95300 99010 118700 119125 148375 190600 198020 237400 238250 247525 296750 396040 476500 495050 593500 953000 990100 1131211 1187000 1237625 1980200 2262422 2475250 4524844 4950500 5656055 9049688 9435653 9901000 11312110 11752487 18871306 22624220 23504974 28280275 37742612 45248440 47009948 47178265 56560550 58762435 75485224 94019896 94356530 113121100 117524870 141401375 188713060 226242200 235049740 235891325 282802750 293812175 377426120 470099480 471782650 565605500 587624350 943565300 1131211000 1175248700 1179456625 1469060875 1887130600 2350497400 2358913250 2938121750 4717826500 5876243500 9435653000 11200120111 11752487000 22400240222 44800480444 56000600555 89600960888 112001201110 224002402220 280003002775 448004804440 560006005550 1120012011100 1400015013875 2240024022200 2800030027750 5600060055500 11200120111000