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11102002110441 = 321117371223145777
BaseRepresentation
bin1010000110001110001011…
…1001000101111111101001
31110022100012121121202202200
42201203202321011333221
52423343400020013231
635340104522450413
72224043650623444
oct241434271057751
943270177552680
1011102002110441
1135a0372843240
1212b3786063a09
13626bb6969618
142a54a848065b
15143bc6571be6
hexa18e2e45fe9

11102002110441 has 96 divisors (see below), whose sum is σ = 19039437151488. Its totient is φ = 6156458680320.

The previous prime is 11102002110427. The next prime is 11102002110481. The reversal of 11102002110441 is 14401120020111.

11102002110441 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 200 + 21 + 1 + 0 + 441 = 666.

It is not a de Polignac number, because 11102002110441 - 26 = 11102002110377 is a prime.

It is a super-2 number, since 2×111020021104412 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11102002110401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76084545 + ... + 76230321.

It is an arithmetic number, because the mean of its divisors is an integer number (198327470328).

Almost surely, 211102002110441 is an apocalyptic number.

11102002110441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11102002110441 is a deficient number, since it is larger than the sum of its proper divisors (7937435041047).

11102002110441 is a wasteful number, since it uses less digits than its factorization.

11102002110441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147071 (or 147068 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11102002110441 its reverse (14401120020111), we get a palindrome (25503122130552).

The spelling of 11102002110441 in words is "eleven trillion, one hundred two billion, two million, one hundred ten thousand, four hundred forty-one".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 333 407 561 629 1221 1223 1683 1887 3663 3669 5661 6919 11007 13453 20757 20791 40359 45251 62271 62373 121077 135753 145777 187119 228701 407259 437331 497761 686103 769267 1311993 1493283 1603547 2058309 2307801 2478209 4479849 4810641 5393749 6923403 7434627 8461937 14431923 16181247 22303881 25385811 27260299 48543741 59331239 76157433 81780897 91693733 177993717 178285271 245342691 275081199 533981151 534855813 825243597 1008631063 1604567439 1961137981 3025893189 3030849607 5883413943 6596555027 9077679567 9092548821 17650241829 19789665081 27277646463 33339345677 59368995243 72562105297 100018037031 112141435459 217686315891 300054111093 336424306377 653058947673 1009272919131 1233555790049 3700667370147 11102002110441