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20110221000100 = 22527116142815033
BaseRepresentation
bin1001001001010010001101…
…00101000011110110100100
32122012111222212201110011201
410210221012211003312210
510113441213034000400
6110434301420412244
74143626011042330
oct444510645036644
978174885643151
1020110221000100
116453773533860
1223095b43a7084
13b2b50250b61a
144d74a892c7c0
1524d1a658506a
hex124a46943da4

20110221000100 has 144 divisors (see below), whose sum is σ = 55299212873856. Its totient is φ = 6165364608000.

The previous prime is 20110221000061. The next prime is 20110221000119. The reversal of 20110221000100 is 100012201102.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20937817 + ... + 21877216.

It is an arithmetic number, because the mean of its divisors is an integer number (384022311624).

Almost surely, 220110221000100 is an apocalyptic number.

20110221000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110221000100 is an abundant number, since it is smaller than the sum of its proper divisors (35188991873756).

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

20110221000100 is a wasteful number, since it uses less digits than its factorization.

20110221000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42815126 (or 42815119 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20110221000100 its reverse (100012201102), we get a palindrome (20210233201202).

The spelling of 20110221000100 in words is "twenty trillion, one hundred ten billion, two hundred twenty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 61 70 77 100 110 122 140 154 175 220 244 275 305 308 350 385 427 550 610 671 700 770 854 1100 1220 1342 1525 1540 1708 1925 2135 2684 3050 3355 3850 4270 4697 6100 6710 7700 8540 9394 10675 13420 16775 18788 21350 23485 33550 42700 46970 67100 93940 117425 234850 469700 42815033 85630066 171260132 214075165 299705231 428150330 470965363 599410462 856300660 941930726 1070375825 1198820924 1498526155 1883861452 2140751650 2354826815 2611717013 2997052310 3296757541 4281503300 4709653630 5223434026 5994104620 6593515082 7492630775 9419307260 10446868052 11774134075 13058585065 13187030164 14985261550 16483787705 18282019091 23548268150 26117170130 28728887143 29970523100 32967575410 36564038182 47096536300 52234340260 57457774286 65292925325 65935150820 73128076364 82418938525 91410095455 114915548572 130585850650 143644435715 164837877050 182820190910 201102210001 261171701300 287288871430 329675754100 365640381820 402204420002 457050477275 574577742860 718222178575 804408840004 914100954550 1005511050005 1436444357150 1828201909100 2011022100010 2872888714300 4022044200020 5027555250025 10055110500050 20110221000100