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11332000205240 = 235111313487146891
BaseRepresentation
bin1010010011100110111111…
…0110001100100110111000
31111010022212120121120012012
42210321233312030212320
52441130414023031430
640033503220105052
72246465346313001
oct244715766144670
944108776546165
1011332000205240
113679968767020
121330273b35188
136427abb34640
142b26866321a8
15149b88395695
hexa4e6fd8c9b8

11332000205240 has 128 divisors (see below), whose sum is σ = 29956942955520. Its totient is φ = 3803440396800.

The previous prime is 11332000205233. The next prime is 11332000205293. The reversal of 11332000205240 is 4250200023311.

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, 77072195 + ... + 77219085.

It is an arithmetic number, because the mean of its divisors is an integer number (234038616840).

Almost surely, 211332000205240 is an apocalyptic number.

11332000205240 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 11332000205240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14978471477760).

11332000205240 is an abundant number, since it is smaller than the sum of its proper divisors (18624942750280).

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

11332000205240 is a wasteful number, since it uses less digits than its factorization.

11332000205240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160413 (or 160409 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 11332000205240 its reverse (4250200023311), we get a palindrome (15582200228551).

The spelling of 11332000205240 in words is "eleven trillion, three hundred thirty-two billion, two hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 13487 26974 53948 67435 107896 134870 146891 148357 175331 269740 293782 296714 350662 539480 587564 593428 701324 734455 741785 876655 1175128 1186856 1402648 1468910 1483570 1615801 1753310 1909583 1928641 2937820 2967140 3231602 3506620 3819166 3857282 5875640 5934280 6463204 7013240 7638332 7714564 8079005 9547915 9643205 12926408 15276664 15429128 16158010 19095830 19286410 21005413 32316020 38191660 38572820 42010826 64632040 76383320 77145640 84021652 105027065 168043304 210054130 420108260 840216520 1981118917 3962237834 7924475668 9905594585 15848951336 19811189170 21792308087 25754545921 39622378340 43584616174 51509091842 79244756680 87169232348 103018183684 108961540435 128772729605 174338464696 206036367368 217923080870 257545459210 283300005131 435846161740 515090918420 566600010262 871692323480 1030181836840 1133200020524 1416500025655 2266400041048 2833000051310 5666000102620 11332000205240