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2001220011 = 327193594657
BaseRepresentation
bin111011101001000…
…0011000110101011
312011110122111202200
41313102003012223
513044303020021
6530325031243
7100410042450
oct16722030653
95143574680
102001220011
1193770023a
1247a255523
1325b7b376b
1414dad5827
15baa54126
hex774831ab

2001220011 has 48 divisors (see below), whose sum is σ = 3487910400. Its totient is φ = 1080117504.

The previous prime is 2001220007. The next prime is 2001220019. The reversal of 2001220011 is 1100221002.

2001220011 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2001220011 - 22 = 2001220007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2001219975 and 2001220002.

It is not an unprimeable number, because it can be changed into a prime (2001220019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427395 + ... + 432051.

It is an arithmetic number, because the mean of its divisors is an integer number (72664800).

Almost surely, 22001220011 is an apocalyptic number.

2001220011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2001220011 is a deficient number, since it is larger than the sum of its proper divisors (1486690389).

2001220011 is a wasteful number, since it uses less digits than its factorization.

2001220011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2001220011 is about 44734.9976081367. The cubic root of 2001220011 is about 1260.1771840775.

Adding to 2001220011 its reverse (1100221002), we get a palindrome (3101441013).

Subtracting from 2001220011 its reverse (1100221002), we obtain a palindrome (900999009).

The spelling of 2001220011 in words is "two billion, one million, two hundred twenty thousand, eleven".

Divisors: 1 3 7 9 19 21 57 63 133 171 359 399 1077 1197 2513 3231 4657 6821 7539 13971 20463 22617 32599 41913 47747 61389 88483 97797 143241 265449 293391 429723 619381 796347 1671863 1858143 5015589 5574429 11703041 15046767 31765397 35109123 95296191 105327369 222357779 285888573 667073337 2001220011