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11332002302000 = 24539770982387
BaseRepresentation
bin1010010011100110111111…
…1110001100100000110000
31111010022212201120002101222
42210321233332030200300
52441130420042131000
640033503333044212
72246465403165002
oct244715776144060
944108781502358
1011332002302000
113679969969386
121330274786668
136427ac3b9b23
142b2686a1a372
15149b8865ba85
hexa4e6ff8c830

11332002302000 has 160 divisors (see below), whose sum is σ = 27722645845440. Its totient is φ = 4479689318400.

The previous prime is 11332002301999. The next prime is 11332002302057. The reversal of 11332002302000 is 20320023311.

11332002302000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11332002302000.

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, 137504807 + ... + 137587193.

It is an arithmetic number, because the mean of its divisors is an integer number (173266536534).

Almost surely, 211332002302000 is an apocalyptic number.

11332002302000 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 11332002302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13861322922720).

11332002302000 is an abundant number, since it is smaller than the sum of its proper divisors (16390643543440).

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

11332002302000 is an equidigital number, since it uses as much as digits as its factorization.

11332002302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83216 (or 83200 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 11332002302000 its reverse (20320023311), we get a palindrome (11352322325311).

The spelling of 11332002302000 in words is "eleven trillion, three hundred thirty-two billion, two million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 709 776 970 1000 1418 1552 1940 2000 2425 2836 3545 3880 4850 5672 7090 7760 9700 11344 12125 14180 17725 19400 24250 28360 35450 38800 48500 56720 68773 70900 82387 88625 97000 137546 141800 164774 177250 194000 275092 283600 329548 343865 354500 411935 550184 659096 687730 709000 823870 1100368 1318192 1375460 1418000 1647740 1719325 2059675 2750920 3295480 3438650 4119350 5501840 6590960 6877300 7991539 8238700 8596625 10298375 13754600 15983078 16477400 17193250 20596750 27509200 31966156 32954800 34386500 39957695 41193500 58412383 63932312 68773000 79915390 82387000 116824766 127864624 137546000 159830780 164774000 199788475 233649532 292061915 319661560 399576950 467299064 584123830 639323120 799153900 934598128 998942375 1168247660 1460309575 1598307800 1997884750 2336495320 2920619150 3196615600 3995769500 4672990640 5666001151 5841238300 7301547875 7991539000 11332002302 11682476600 14603095750 15983078000 22664004604 23364953200 28330005755 29206191500 45328009208 56660011510 58412383000 90656018416 113320023020 116824766000 141650028775 226640046040 283300057550 453280092080 566600115100 708250143875 1133200230200 1416500287750 2266400460400 2833000575500 5666001151000 11332002302000