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100001220011 = 71130720272087
BaseRepresentation
bin101110100100010001…
…0011000010110101011
3100120010020221022210022
41131020202120112223
53114300303020021
6113535005111055
710140060226250
oct1351042302653
9316106838708
10100001220011
1139457099780
121746a25848b
139578b48b44
144ba929b427
1529043cb1ab
hex17488985ab

100001220011 has 32 divisors (see below), whose sum is σ = 125204631552. Its totient is φ = 77593692960.

The previous prime is 100001219947. The next prime is 100001220023. The reversal of 100001220011 is 110022100001.

It is not a de Polignac number, because 100001220011 - 26 = 100001219947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100001210011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 47915210 + ... + 47917296.

It is an arithmetic number, because the mean of its divisors is an integer number (3912644736).

Almost surely, 2100001220011 is an apocalyptic number.

100001220011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001220011 is a deficient number, since it is larger than the sum of its proper divisors (25203411541).

100001220011 is a wasteful number, since it uses less digits than its factorization.

100001220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100001220011 its reverse (110022100001), we get a palindrome (210023320012).

The spelling of 100001220011 in words is "one hundred billion, one million, two hundred twenty thousand, eleven".

Divisors: 1 7 11 77 307 2027 2087 2149 3377 14189 14609 22297 22957 23639 156079 160699 622289 640709 4230349 4356023 4484963 6845179 7047799 29612443 46533839 47916253 49334593 325736873 1298717143 9091020001 14285888573 100001220011