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11020112121100 = 22521911804131981
BaseRepresentation
bin1010000001011101000111…
…0111100100110100001100
31110000111211120011021210111
42200113101313210310030
52421023142200333400
635234323012045404
72215114436325025
oct240272167446414
943014746137714
1011020112121100
11356966aaa91a5
12129b931303864
1361c2660c7624
142a153a6c5c4c
151419d21c13ba
hexa05d1de4d0c

11020112121100 has 72 divisors (see below), whose sum is σ = 24040929782016. Its totient is φ = 4384585920000.

The previous prime is 11020112121077. The next prime is 11020112121113. The reversal of 11020112121100 is 112121102011.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344567110 + ... + 344599090.

It is an arithmetic number, because the mean of its divisors is an integer number (333901802528).

Almost surely, 211020112121100 is an apocalyptic number.

11020112121100 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 11020112121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020464891008).

11020112121100 is an abundant number, since it is smaller than the sum of its proper divisors (13020817660916).

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

11020112121100 is a wasteful number, since it uses less digits than its factorization.

11020112121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50227 (or 50220 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11020112121100 its reverse (112121102011), we get a palindrome (11132233223111).

The spelling of 11020112121100 in words is "eleven trillion, twenty billion, one hundred twelve million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 3820 4775 9550 18041 19100 31981 36082 63962 72164 90205 127924 159905 180410 319810 360820 451025 639620 799525 902050 1599050 1804100 3198100 3445831 6108371 6891662 12216742 13783324 17229155 24433484 30541855 34458310 61083710 68916620 86145775 122167420 152709275 172291550 305418550 344583100 576969221 610837100 1153938442 2307876884 2884846105 5769692210 11539384420 14424230525 28848461050 57696922100 110201121211 220402242422 440804484844 551005606055 1102011212110 2204022424220 2755028030275 5510056060550 11020112121100