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11020220101120 = 2956170570057
BaseRepresentation
bin1010000001011101100001…
…0011011111001000000000
31110000112010002100020112111
42200113120103133020000
52421023402321213440
635234341430305104
72215120220204416
oct240273023371000
943015102306474
1011020220101120
113569715a5018a
12129b9614b8194
1361c2825a3429
142a154ab932b6
151419db9004ea
hexa05d84df200

11020220101120 has 80 divisors (see below), whose sum is σ = 26855858992248. Its totient is φ = 4335824240640.

The previous prime is 11020220101087. The next prime is 11020220101171. The reversal of 11020220101120 is 2110102202011.

It can be written as a sum of positive squares in 4 ways, for example, as 3354055262464 + 7666164838656 = 1831408^2 + 2768784^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11020220101120.

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 7 ways as a sum of consecutive naturals, for example, 35128869 + ... + 35441188.

Almost surely, 211020220101120 is an apocalyptic number.

11020220101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020220101120 is an abundant number, since it is smaller than the sum of its proper divisors (15835638891128).

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

11020220101120 is an frugal number, since it uses more digits than its factorization.

11020220101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70570141 (or 70570125 counting only the distinct ones).

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

Adding to 11020220101120 its reverse (2110102202011), we get a palindrome (13130322303131).

The spelling of 11020220101120 in words is "eleven trillion, twenty billion, two hundred twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 512 610 640 976 1220 1280 1952 2440 2560 3904 4880 7808 9760 15616 19520 31232 39040 78080 156160 70570057 141140114 282280228 352850285 564560456 705700570 1129120912 1411401140 2258241824 2822802280 4304773477 4516483648 5645604560 8609546954 9032967296 11291209120 17219093908 18065934592 21523867385 22582418240 34438187816 36131869184 43047734770 45164836480 68876375632 86095469540 90329672960 137752751264 172190939080 180659345920 275505502528 344381878160 551011005056 688763756320 1102022010112 1377527512640 2204044020224 2755055025280 5510110050560 11020220101120