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2012220011 = 17252313313
BaseRepresentation
bin111011111110000…
…0000101001101011
312012020100100221002
41313330000221223
513110112020021
6531400505215
7100602405434
oct16774005153
95166310832
102012220011
1194293374a
12481a7b20b
13260b65539
1415135a48b
15bb9c850b
hex77f00a6b

2012220011 has 12 divisors (see below), whose sum is σ = 2141796552. Its totient is φ = 1890091008.

The previous prime is 2012219987. The next prime is 2012220019. The reversal of 2012220011 is 1100222102.

It is a happy number.

It is not a de Polignac number, because 2012220011 - 210 = 2012218987 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2012219974 and 2012220001.

It is not an unprimeable number, because it can be changed into a prime (2012220019) 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 11 ways as a sum of consecutive naturals, for example, 144491 + ... + 157803.

It is an arithmetic number, because the mean of its divisors is an integer number (178483046).

Almost surely, 22012220011 is an apocalyptic number.

2012220011 is a deficient number, since it is larger than the sum of its proper divisors (129576541).

2012220011 is a wasteful number, since it uses less digits than its factorization.

2012220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13870 (or 13853 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2012220011 is about 44857.7753683796. The cubic root of 2012220011 is about 1262.4818829018.

Adding to 2012220011 its reverse (1100222102), we get a palindrome (3112442113).

The spelling of 2012220011 in words is "two billion, twelve million, two hundred twenty thousand, eleven".

Divisors: 1 17 289 523 8891 13313 151147 226321 3847457 6962699 118365883 2012220011