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11203305000 = 233541275881
BaseRepresentation
bin10100110111100010…
…01101111000101000
31001220202222212021020
422123301031320220
5140421021230000
65051405412440
7544425343536
oct123361157050
931822885236
1011203305000
114829a78958
122207b6a120
13109709b074
14783cb3156
1545884cba0
hex29bc4de28

11203305000 has 160 divisors (see below), whose sum is σ = 35280706560. Its totient is φ = 2963520000.

The previous prime is 11203304993. The next prime is 11203305007. The reversal of 11203305000 is 50330211.

It is a happy number.

11203305000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11203304993) and next prime (11203305007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11203305007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1902060 + ... + 1907940.

It is an arithmetic number, because the mean of its divisors is an integer number (220504416).

Almost surely, 211203305000 is an apocalyptic number.

11203305000 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 11203305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640353280).

11203305000 is an abundant number, since it is smaller than the sum of its proper divisors (24077401560).

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

11203305000 is a wasteful number, since it uses less digits than its factorization.

11203305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 11203305000 its reverse (50330211), we get a palindrome (11253635211).

The spelling of 11203305000 in words is "eleven billion, two hundred three million, three hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 127 150 200 250 254 300 375 381 500 508 600 625 635 750 762 1000 1016 1250 1270 1500 1524 1875 1905 2500 2540 3000 3048 3175 3750 3810 5000 5080 5881 6350 7500 7620 9525 11762 12700 15000 15240 15875 17643 19050 23524 25400 29405 31750 35286 38100 47048 47625 58810 63500 70572 76200 79375 88215 95250 117620 127000 141144 147025 158750 176430 190500 235240 238125 294050 317500 352860 381000 441075 476250 588100 635000 705720 735125 746887 882150 952500 1176200 1470250 1493774 1764300 1905000 2205375 2240661 2940500 2987548 3528600 3675625 3734435 4410750 4481322 5881000 5975096 7351250 7468870 8821500 8962644 11026875 11203305 14702500 14937740 17643000 17925288 18672175 22053750 22406610 29405000 29875480 37344350 44107500 44813220 56016525 74688700 88215000 89626440 93360875 112033050 149377400 186721750 224066100 280082625 373443500 448132200 466804375 560165250 746887000 933608750 1120330500 1400413125 1867217500 2240661000 2800826250 3734435000 5601652500 11203305000