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11000202221112 = 23313533037219041
BaseRepresentation
bin1010000000010010111100…
…1001010101011000111000
31102221121110000011120112020
42200010233021111120320
52420211403232033422
635221231221514440
72213511160061256
oct240045711253070
942847400146466
1011000202221112
1135611834196a5
121297ab5572a20
1361a4122a8310
142a05ac3755d6
1514121930195c
hexa012f255638

11000202221112 has 128 divisors (see below), whose sum is σ = 30184793674560. Its totient is φ = 3319707156480.

The previous prime is 11000202221089. The next prime is 11000202221213. The reversal of 11000202221112 is 21112220200011.

It is a junction number, because it is equal to n+sod(n) for n = 11000202221091 and 11000202221100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50110312 + ... + 50329352.

Almost surely, 211000202221112 is an apocalyptic number.

11000202221112 is a gapful number since it is divisible by the number (12) 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 11000202221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092396837280).

11000202221112 is an abundant number, since it is smaller than the sum of its proper divisors (19184591453448).

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

11000202221112 is a wasteful number, since it uses less digits than its factorization.

11000202221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222153 (or 222149 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11000202221112 its reverse (21112220200011), we get a palindrome (32112422421123).

The spelling of 11000202221112 in words is "eleven trillion, two hundred two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 2067 2756 3037 4134 5512 6074 8268 9111 12148 16536 18222 24296 36444 39481 72888 78962 118443 157924 160961 219041 236886 315848 321922 438082 473772 482883 643844 657123 876164 947544 965766 1287688 1314246 1752328 1931532 2092493 2628492 2847533 3863064 4184986 5256984 5695066 6277479 8369972 8542599 11390132 11609173 12554958 16739944 17085198 22780264 23218346 25109916 34170396 34827519 46436692 50219832 68340792 69655038 92873384 139310076 150919249 278620152 301838498 452757747 603676996 665227517 905515494 1207353992 1330455034 1811030988 1995682551 2660910068 3622061976 3991365102 5321820136 7982730204 8647957721 15965460408 17295915442 25943873163 34591830884 35257058401 51887746326 69183661768 70514116802 103775492652 105771175203 141028233604 207550985304 211542350406 282056467208 423084700812 458341759213 846169401624 916683518426 1375025277639 1833367036852 2750050555278 3666734073704 5500101110556 11000202221112