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11200122020105 = 517976612055089
BaseRepresentation
bin1010001011111011101101…
…0010110110000100001001
31110122201110202112121220222
42202332323102312010021
52432000322214120410
635453133124555425
72234116315244144
oct242767322660411
943581422477828
1011200122020105
113628a43991677
12130a7aa252b75
13633222ac6775
142aa13593b05b
1514651a6d2955
hexa2fbb4b6109

11200122020105 has 32 divisors (see below), whose sum is σ = 14399210034720. Its totient is φ = 8333464043520.

The previous prime is 11200122020093. The next prime is 11200122020107. The reversal of 11200122020105 is 50102022100211.

11200122020105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 360935406841 + 10839186613264 = 600779^2 + 3292292^2 .

It is not a de Polignac number, because 11200122020105 - 210 = 11200122019081 is a prime.

It is a super-2 number, since 2×112001220201052 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (11200122020107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4422401 + ... + 6477489.

It is an arithmetic number, because the mean of its divisors is an integer number (449975313585).

Almost surely, 211200122020105 is an apocalyptic number.

It is an amenable number.

11200122020105 is a deficient number, since it is larger than the sum of its proper divisors (3199088014615).

11200122020105 is a wasteful number, since it uses less digits than its factorization.

11200122020105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055869.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 11200122020105 its reverse (50102022100211), we get a palindrome (61302144120316).

The spelling of 11200122020105 in words is "eleven trillion, two hundred billion, one hundred twenty-two million, twenty thousand, one hundred five".

Divisors: 1 5 17 85 97 485 661 1649 3305 8245 11237 56185 64117 320585 1089989 2055089 5449945 10275445 34936513 174682565 199343633 996718165 1358413829 3388841761 6792069145 16944208805 23093035093 115465175465 131766141413 658830707065 2240024404021 11200122020105