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11083420500 = 223538818387
BaseRepresentation
bin10100101001001111…
…11001001101010100
31001121102102002122120
422110213321031110
5140144323424000
65031444055540
7541441343205
oct122447711524
931542362576
1011083420500
114778335959
1221939945b0
1310782b48a9
14771dc75ac
1544d06b6a0
hex2949f9354

11083420500 has 96 divisors (see below), whose sum is σ = 32315407488. Its totient is φ = 2951872000.

The previous prime is 11083420463. The next prime is 11083420511. The reversal of 11083420500 is 502438011.

11083420500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1317307 + ... + 1325693.

It is an arithmetic number, because the mean of its divisors is an integer number (336618828).

Almost surely, 211083420500 is an apocalyptic number.

11083420500 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 11083420500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157703744).

11083420500 is an abundant number, since it is smaller than the sum of its proper divisors (21231986988).

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

11083420500 is a wasteful number, since it uses less digits than its factorization.

11083420500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9290 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11083420500 its reverse (502438011), we get a palindrome (11585858511).

The spelling of 11083420500 in words is "eleven billion, eighty-three million, four hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 881 1500 1762 2643 3524 4405 5286 8387 8810 10572 13215 16774 17620 22025 25161 26430 33548 41935 44050 50322 52860 66075 83870 88100 100644 110125 125805 132150 167740 209675 220250 251610 264300 330375 419350 440500 503220 629025 660750 838700 1048375 1258050 1321500 2096750 2516100 3145125 4193500 6290250 7388947 12580500 14777894 22166841 29555788 36944735 44333682 73889470 88667364 110834205 147778940 184723675 221668410 369447350 443336820 554171025 738894700 923618375 1108342050 1847236750 2216684100 2770855125 3694473500 5541710250 11083420500