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11303303000 = 2353112833631
BaseRepresentation
bin10101000011011101…
…01011011101011000
31002011202011021201212
422201232223131120
5141122121144000
65105341002252
7550051330103
oct124156533530
932152137655
1011303303000
114880468930
122235553388
1310b1a10992
147932a373a
15462501c35
hex2a1bab758

11303303000 has 128 divisors (see below), whose sum is σ = 28964183040. Its totient is φ = 4094640000.

The previous prime is 11303302999. The next prime is 11303303003. The reversal of 11303303000 is 30330311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303303003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3111185 + ... + 3114815.

It is an arithmetic number, because the mean of its divisors is an integer number (226282680).

Almost surely, 211303303000 is an apocalyptic number.

11303303000 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 11303303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14482091520).

11303303000 is an abundant number, since it is smaller than the sum of its proper divisors (17660880040).

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

11303303000 is a wasteful number, since it uses less digits than its factorization.

11303303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 11303303000 its reverse (30330311), we get a palindrome (11333633311).

The spelling of 11303303000 in words is "eleven billion, three hundred three million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 283 440 500 550 566 1000 1100 1132 1375 1415 2200 2264 2750 2830 3113 3631 5500 5660 6226 7075 7262 11000 11320 12452 14150 14524 15565 18155 24904 28300 29048 31130 35375 36310 39941 56600 62260 70750 72620 77825 79882 90775 124520 141500 145240 155650 159764 181550 199705 283000 311300 319528 363100 389125 399410 453875 622600 726200 778250 798820 907750 998525 1027573 1556500 1597640 1815500 1997050 2055146 3113000 3631000 3994100 4110292 4992625 5137865 7988200 8220584 9985250 10275730 11303303 19970500 20551460 22606606 25689325 39941000 41102920 45213212 51378650 56516515 90426424 102757300 113033030 128446625 205514600 226066060 256893250 282582575 452132120 513786500 565165150 1027573000 1130330300 1412912875 2260660600 2825825750 5651651500 11303303000