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2001120021 = 326711172971
BaseRepresentation
bin111011101000110…
…1010101100010101
312011110110102121100
41313101222230111
513044241320041
6530322540313
7100406145105
oct16721525425
95143412540
102001120021
119376420aa
1247a207699
1325b77a0b4
1414daab205
15baa346b6
hex7746ab15

2001120021 has 24 divisors (see below), whose sum is σ = 2937263264. Its totient is φ = 1312549920.

The previous prime is 2001120013. The next prime is 2001120047. The reversal of 2001120021 is 1200211002.

It is not a de Polignac number, because 2001120021 - 23 = 2001120013 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2001119985 and 2001120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001120001) 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 23 ways as a sum of consecutive naturals, for example, 672066 + ... + 675036.

Almost surely, 22001120021 is an apocalyptic number.

It is an amenable number.

2001120021 is a deficient number, since it is larger than the sum of its proper divisors (936143243).

2001120021 is a wasteful number, since it uses less digits than its factorization.

2001120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4158 counting only the distinct ones).

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

The square root of 2001120021 is about 44733.8800128046. The cubic root of 2001120021 is about 1260.1561956780.

Adding to 2001120021 its reverse (1200211002), we get a palindrome (3201331023).

The spelling of 2001120021 in words is "two billion, one million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 9 67 201 603 1117 2971 3351 8913 10053 26739 74839 199057 224517 597171 673551 1791513 3318607 9955821 29867463 222346669 667040007 2001120021