Search a number
-
+
11003331301110 = 235529691525133
BaseRepresentation
bin1010000000011110100110…
…1001110100111011110110
31102221220112002002022100000
42200013221221310323312
52420234310303113420
635222505520532130
72213651543603421
oct240075151647366
942856462068300
1011003331301110
113562539732825
121298629481046
1361a7c0645645
142a07c7b7c9b8
1514134dd91690
hexa01e9a74ef6

11003331301110 has 96 divisors (see below), whose sum is σ = 29678253564960. Its totient is φ = 2933231470848.

The previous prime is 11003331301103. The next prime is 11003331301153. The reversal of 11003331301110 is 1110313330011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6452104 + ... + 7977236.

It is an arithmetic number, because the mean of its divisors is an integer number (309148474635).

Almost surely, 211003331301110 is an apocalyptic number.

11003331301110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11003331301110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14839126782480).

11003331301110 is an abundant number, since it is smaller than the sum of its proper divisors (18674922263850).

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

11003331301110 is a wasteful number, since it uses less digits than its factorization.

11003331301110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528124 (or 1528112 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11003331301110 its reverse (1110313330011), we get a palindrome (12113644631121).

The spelling of 11003331301110 in words is "eleven trillion, three billion, three hundred thirty-one million, three hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 2969 5938 8907 14845 17814 26721 29690 44535 53442 80163 89070 133605 160326 240489 267210 400815 480978 721467 801630 1202445 1442934 1525133 2404890 3050266 3607335 4575399 7214670 7625665 9150798 13726197 15251330 22876995 27452394 41178591 45753990 68630985 82357182 123535773 137261970 205892955 247071546 370607319 411785910 617678865 741214638 1235357730 1853036595 3706073190 4528119877 9056239754 13584359631 22640599385 27168719262 40753078893 45281198770 67921798155 81506157786 122259236679 135843596310 203765394465 244518473358 366777710037 407530788930 611296183395 733555420074 1100333130111 1222592366790 1833888550185 2200666260222 3667777100370 5501665650555 11003331301110