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11010202000 = 245372112349
BaseRepresentation
bin10100100000100001…
…00101100110010000
31001102022122012202021
422100100211212100
5140022102431000
65020310501224
7536562113200
oct122020454620
931368565667
1011010202000
11473aa767a6
122173364814
13106608a135
147663a8400
1544690711a
hex290425990

11010202000 has 120 divisors (see below), whose sum is σ = 30969502200. Its totient is φ = 3774892800.

The previous prime is 11010201931. The next prime is 11010202009. The reversal of 11010202000 is 20201011.

It can be written as a sum of positive squares in 4 ways, for example, as 49787136 + 10960414864 = 7056^2 + 104692^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (11010202009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41826 + ... + 154174.

It is an arithmetic number, because the mean of its divisors is an integer number (258079185).

Almost surely, 211010202000 is an apocalyptic number.

11010202000 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 11010202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15484751100).

11010202000 is an abundant number, since it is smaller than the sum of its proper divisors (19959300200).

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

11010202000 is a wasteful number, since it uses less digits than its factorization.

11010202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112386 (or 112363 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11010202000 its reverse (20201011), we get a palindrome (11030403011).

The spelling of 11010202000 in words is "eleven billion, ten million, two hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1750 1960 2000 2450 2800 3500 3920 4900 6125 7000 9800 12250 14000 19600 24500 49000 98000 112349 224698 449396 561745 786443 898792 1123490 1572886 1797584 2246980 2808725 3145772 3932215 4493960 5505101 5617450 6291544 7864430 8987920 11010202 11234900 12583088 14043625 15728860 19661075 22020404 22469800 27525505 28087250 31457720 39322150 44040808 44939600 55051010 56174500 62915440 78644300 88081616 98305375 110102020 112349000 137627525 157288600 196610750 220204040 224698000 275255050 314577200 393221500 440408080 550510100 688137625 786443000 1101020200 1376275250 1572886000 2202040400 2752550500 5505101000 11010202000