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1100330105500 = 225337281211663
BaseRepresentation
bin10000000000110000110…
…010001111101010011100
310220012010220012212100101
4100000300302033222130
5121011434001334000
62201252404510444
7142332130402153
oct20006062175234
93805126185311
101100330105500
1139471372815a
121593023ab424
137c9b72b7082
143b38327659a
151d94e959e6a
hex10030c8fa9c

1100330105500 has 96 divisors (see below), whose sum is σ = 2476865035008. Its totient is φ = 426710592000.

The previous prime is 1100330105473. The next prime is 1100330105569. The reversal of 1100330105500 is 55010330011.

It is a super-2 number, since 2×11003301055002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 5092669 + ... + 5304331.

It is an arithmetic number, because the mean of its divisors is an integer number (25800677448).

Almost surely, 21100330105500 is an apocalyptic number.

1100330105500 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 1100330105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238432517504).

1100330105500 is an abundant number, since it is smaller than the sum of its proper divisors (1376534929508).

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

1100330105500 is a wasteful number, since it uses less digits than its factorization.

1100330105500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212000 (or 211988 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 19.

Adding to 1100330105500 its reverse (55010330011), we get a palindrome (1155340435511).

The spelling of 1100330105500 in words is "one trillion, one hundred billion, three hundred thirty million, one hundred five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 281 370 500 562 740 925 1124 1405 1850 2810 3700 4625 5620 7025 9250 10397 14050 18500 20794 28100 35125 41588 51985 70250 103970 140500 207940 211663 259925 423326 519850 846652 1039700 1058315 1299625 2116630 2599250 4233260 5198500 5291575 7831531 10583150 15663062 21166300 26457875 31326124 39157655 52915750 59477303 78315310 105831500 118954606 156630620 195788275 237909212 297386515 391576550 594773030 783153100 978941375 1189546060 1486932575 1957882750 2200660211 2973865150 3915765500 4401320422 5947730300 7434662875 8802640844 11003301055 14869325750 22006602110 29738651500 44013204220 55016505275 110033010550 220066021100 275082526375 550165052750 1100330105500