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11020011221000 = 235349332233937
BaseRepresentation
bin1010000001011100101111…
…0110101011000000001000
31110000111120112022000212202
42200113023312223000020
52421022440333033000
635234305005255332
72215112102563445
oct240271366530010
943014515260782
1011020011221000
113569619052491
12129b903564548
1361c24b22a222
142a152b13c9cc
151419c83dedd5
hexa05cbdab008

11020011221000 has 64 divisors (see below), whose sum is σ = 25792065215280. Its totient is φ = 4407108940800.

The previous prime is 11020011220993. The next prime is 11020011221017. The reversal of 11020011221000 is 12211002011.

It can be written as a sum of positive squares in 8 ways, for example, as 445430768836 + 10574580452164 = 667406^2 + 3251858^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3816032 + ... + 6049968.

Almost surely, 211020011221000 is an apocalyptic number.

11020011221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020011221000 is an abundant number, since it is smaller than the sum of its proper divisors (14772053994280).

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

11020011221000 is a wasteful number, since it uses less digits than its factorization.

11020011221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238891 (or 2238877 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11020011221000 its reverse (12211002011), we get a palindrome (11032222223011).

The spelling of 11020011221000 in words is "eleven trillion, twenty billion, eleven million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 4933 9866 19732 24665 39464 49330 98660 123325 197320 246650 493300 616625 986600 1233250 2233937 2466500 4467874 4933000 8935748 11169685 17871496 22339370 44678740 55848425 89357480 111696850 223393700 279242125 446787400 558484250 1116968500 2233937000 11020011221 22040022442 44080044884 55100056105 88160089768 110200112210 220400224420 275500280525 440800448840 551000561050 1102001122100 1377501402625 2204002244200 2755002805250 5510005610500 11020011221000