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2004331021 = 711231131751
BaseRepresentation
bin111011101110111…
…1010101000001101
312011200111120021021
41313131322220031
513101102043041
6530515434141
7100445350450
oct16735725015
95150446237
102004331021
11939435620
1247b2b5951
1325c3327b4
141502a5497
15bae6acd1
hex7777aa0d

2004331021 has 16 divisors (see below), whose sum is σ = 2607556608. Its totient is φ = 1493910000.

The previous prime is 2004330983. The next prime is 2004331031. The reversal of 2004331021 is 1201334002.

It is a happy number.

It is not a de Polignac number, because 2004331021 - 211 = 2004328973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2004330986 and 2004331004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004331031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564105 + ... + 567646.

It is an arithmetic number, because the mean of its divisors is an integer number (162972288).

Almost surely, 22004331021 is an apocalyptic number.

It is an amenable number.

2004331021 is a deficient number, since it is larger than the sum of its proper divisors (603225587).

2004331021 is a wasteful number, since it uses less digits than its factorization.

2004331021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131792.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2004331021 is about 44769.7556504388. The cubic root of 2004331021 is about 1260.8298516246.

Adding to 2004331021 its reverse (1201334002), we get a palindrome (3205665023).

The spelling of 2004331021 in words is "two billion, four million, three hundred thirty-one thousand, twenty-one".

Divisors: 1 7 11 23 77 161 253 1771 1131751 7922257 12449261 26030273 87144827 182211911 286333003 2004331021