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11221222022000 = 245341136844171
BaseRepresentation
bin1010001101001010010011…
…1100111101101101110000
31110201201221020220210002122
42203102210330331231300
52432322030314201000
635510542551133412
72235464225302514
oct243224474755560
943651836823078
1011221222022000
113636991327371
1213128b8674268
13635206352ba3
142ab177d62144
15146d52cd5085
hexa34a4f3db70

11221222022000 has 80 divisors (see below), whose sum is σ = 27794693463264. Its totient is φ = 4379013440000.

The previous prime is 11221222021993. The next prime is 11221222022029. The reversal of 11221222022000 is 22022212211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×112212220220003 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11221222022000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68340086 + ... + 68504085.

Almost surely, 211221222022000 is an apocalyptic number.

11221222022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221222022000 is an abundant number, since it is smaller than the sum of its proper divisors (16573471441264).

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

11221222022000 is a wasteful number, since it uses less digits than its factorization.

11221222022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136844235 (or 136844219 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11221222022000 its reverse (22022212211), we get a palindrome (11243244234211).

The spelling of 11221222022000 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 10250 16400 20500 41000 82000 136844171 273688342 547376684 684220855 1094753368 1368441710 2189506736 2736883420 3421104275 5473766840 5610611011 6842208550 10947533680 11221222022 13684417100 17105521375 22442444044 27368834200 28053055055 34211042750 44884888088 54737668400 56106110110 68422085500 89769776176 112212220220 136844171000 140265275275 224424440440 273688342000 280530550550 448848880880 561061101100 701326376375 1122122202200 1402652752750 2244244404400 2805305505500 5610611011000 11221222022000