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11221110221000 = 2353163661104147
BaseRepresentation
bin1010001101001001111001…
…0010011110100011001000
31110201201122110112200221212
42203102132102132203020
52432321313204033000
635510523514552252
72235461400100211
oct243223622364310
943651573480855
1011221110221000
113636934205649
121312887138688
136351b9139b54
142ab16717c408
15146d4809dc35
hexa349e49e8c8

11221110221000 has 128 divisors (see below), whose sum is σ = 26458707749760. Its totient is φ = 4454116128000.

The previous prime is 11221110220963. The next prime is 11221110221011. The reversal of 11221110221000 is 12201112211.

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, 107690927 + ... + 107795073.

It is an arithmetic number, because the mean of its divisors is an integer number (206708654295).

Almost surely, 211221110221000 is an apocalyptic number.

11221110221000 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 11221110221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13229353874880).

11221110221000 is an abundant number, since it is smaller than the sum of its proper divisors (15237597528760).

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

11221110221000 is a wasteful number, since it uses less digits than its factorization.

11221110221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104992 (or 104978 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11221110221000 its reverse (12201112211), we get a palindrome (11233311333211).

The spelling of 11221110221000 in words is "eleven trillion, two hundred twenty-one billion, one hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 163 200 250 326 500 652 661 815 1000 1304 1322 1630 2644 3260 3305 4075 5288 6520 6610 8150 13220 16300 16525 20375 26440 32600 33050 40750 66100 81500 82625 104147 107743 132200 163000 165250 208294 215486 330500 416588 430972 520735 538715 661000 833176 861944 1041470 1077430 2082940 2154860 2603675 2693575 4165880 4309720 5207350 5387150 10414700 10774300 13018375 13467875 16975961 20829400 21548600 26036750 26935750 33951922 52073500 53871500 67903844 68841167 84879805 104147000 107743000 135807688 137682334 169759610 275364668 339519220 344205835 424399025 550729336 679038440 688411670 848798050 1376823340 1697596100 1721029175 2121995125 2753646680 3395192200 3442058350 4243990250 6884116700 8487980500 8605145875 11221110221 13768233400 16975961000 17210291750 22442220442 34420583500 44884440884 56105551105 68841167000 89768881768 112211102210 224422204420 280527755525 448844408840 561055511050 1122111022100 1402638777625 2244222044200 2805277555250 5610555110500 11221110221000