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20002221011100 = 22352577115552981
BaseRepresentation
bin1001000110001001000010…
…10001110011000010011100
32121211012020011200120010010
410203010201101303002130
510110204022034323400
6110312520554043220
74133053453220616
oct443044121630234
977735204616103
1020002221011100
1164119923385a9
1222b0693419510
13b21280490aa3
144d2181207db6
1524a484d53450
hex12312147309c

20002221011100 has 72 divisors (see below), whose sum is σ = 57973393281328. Its totient is φ = 5324681318400.

The previous prime is 20002221011083. The next prime is 20002221011117. The reversal of 20002221011100 is 111012220002.

It is an interprime number because it is at equal distance from previous prime (20002221011083) and next prime (20002221011117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57603391 + ... + 57949590.

Almost surely, 220002221011100 is an apocalyptic number.

20002221011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002221011100 is an abundant number, since it is smaller than the sum of its proper divisors (37971172270228).

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

20002221011100 is a wasteful number, since it uses less digits than its factorization.

20002221011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115553575 (or 115553568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20002221011100 its reverse (111012220002), we get a palindrome (20113233231102).

The spelling of 20002221011100 in words is "twenty trillion, two billion, two hundred twenty-one million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 577 1154 1731 2308 2885 3462 5770 6924 8655 11540 14425 17310 28850 34620 43275 57700 86550 173100 115552981 231105962 346658943 462211924 577764905 693317886 1155529810 1386635772 1733294715 2311059620 2888824525 3466589430 5777649050 6933178860 8666473575 11555298100 17332947150 34665894300 66674070037 133348140074 200022210111 266696280148 333370350185 400044420222 666740700370 800088840444 1000111050555 1333481400740 1666851750925 2000222101110 3333703501850 4000444202220 5000555252775 6667407003700 10001110505550 20002221011100