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11041121200 = 245231228723
BaseRepresentation
bin10100100100001101…
…00010001110110000
31001111110211001220211
422102012202032300
5140103011334300
65023333313504
7540415660504
oct122206421660
931443731824
1011041121200
11475647485a
122181795894
13106c5c4615
1476a536304
154494b34ba
hex2921a23b0

11041121200 has 90 divisors (see below), whose sum is σ = 27410537652. Its totient is φ = 4273833600.

The previous prime is 11041121159. The next prime is 11041121209. The reversal of 11041121200 is 212114011.

It is not an unprimeable number, because it can be changed into a prime (11041121209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 370039 + ... + 398761.

Almost surely, 211041121200 is an apocalyptic number.

11041121200 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 11041121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13705268826).

11041121200 is an abundant number, since it is smaller than the sum of its proper divisors (16369416452).

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

11041121200 is a wasteful number, since it uses less digits than its factorization.

11041121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28803 (or 28761 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11041121200 its reverse (212114011), we get a palindrome (11253235211).

The spelling of 11041121200 in words is "eleven billion, forty-one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 961 1240 1550 1922 2480 3100 3844 4805 6200 7688 9610 12400 15376 19220 24025 28723 38440 48050 57446 76880 96100 114892 143615 192200 229784 287230 384400 459568 574460 718075 890413 1148920 1436150 1780826 2297840 2872300 3561652 4452065 5744600 7123304 8904130 11489200 14246608 17808260 22260325 27602803 35616520 44520650 55205606 71233040 89041300 110411212 138014015 178082600 220822424 276028030 356165200 441644848 552056060 690070075 1104112120 1380140150 2208224240 2760280300 5520560600 11041121200