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11221032003000 = 2335314832522147
BaseRepresentation
bin1010001101001001100110…
…1000000110010110111000
31110201201110000100211000220
42203102121220012112320
52432321133143044000
635510512042300040
72235456430205331
oct243223150062670
943651400324026
1011221032003000
1136368a4041276
121312864ab7620
136351a5b81901
142ab15aa1b288
15146d4129d1a0
hexa3499a065b8

11221032003000 has 128 divisors (see below), whose sum is σ = 35033241035520. Its totient is φ = 2990256297600.

The previous prime is 11221032002989. The next prime is 11221032003001. The reversal of 11221032003000 is 30023012211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221032003001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3187927 + ... + 5710073.

It is an arithmetic number, because the mean of its divisors is an integer number (273697195590).

Almost surely, 211221032003000 is an apocalyptic number.

11221032003000 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 11221032003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17516620517760).

11221032003000 is an abundant number, since it is smaller than the sum of its proper divisors (23812209032520).

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

11221032003000 is a wasteful number, since it uses less digits than its factorization.

11221032003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523654 (or 2523640 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11221032003000 its reverse (30023012211), we get a palindrome (11251055015211).

The spelling of 11221032003000 in words is "eleven trillion, two hundred twenty-one billion, thirty-two million, three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1483 1500 2966 3000 4449 5932 7415 8898 11864 14830 17796 22245 29660 35592 37075 44490 59320 74150 88980 111225 148300 177960 185375 222450 296600 370750 444900 556125 741500 889800 1112250 1483000 2224500 2522147 4449000 5044294 7566441 10088588 12610735 15132882 20177176 25221470 30265764 37832205 50442940 60531528 63053675 75664410 100885880 126107350 151328820 189161025 252214700 302657640 315268375 378322050 504429400 630536750 756644100 945805125 1261073500 1513288200 1891610250 2522147000 3740344001 3783220500 7480688002 7566441000 11221032003 14961376004 18701720005 22442064006 29922752008 37403440010 44884128012 56105160015 74806880020 89768256024 93508600025 112210320030 149613760040 187017200050 224420640060 280525800075 374034400100 448841280120 467543000125 561051600150 748068800200 935086000250 1122103200300 1402629000375 1870172000500 2244206400600 2805258000750 3740344001000 5610516001500 11221032003000