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2001332133 = 32222370237
BaseRepresentation
bin111011101001001…
…1110011110100101
312011110212012120100
41313102132132211
513044320112013
6530331254313
7100411020363
oct16722363645
95143765510
102001332133
119377774a9
1247a2aa399
1325b8227c8
1414db24633
15baa77473
hex7749e7a5

2001332133 has 6 divisors (see below), whose sum is σ = 2890813094. Its totient is φ = 1334221416.

The previous prime is 2001332119. The next prime is 2001332159. The reversal of 2001332133 is 3312331002.

2001332133 is a `hidden beast` number, since 200 + 1 + 332 + 133 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1566734724 + 434597409 = 39582^2 + 20847^2 .

It is not a de Polignac number, because 2001332133 - 24 = 2001332117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001331133) 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 5 ways as a sum of consecutive naturals, for example, 111185110 + ... + 111185127.

Almost surely, 22001332133 is an apocalyptic number.

It is an amenable number.

2001332133 is a deficient number, since it is larger than the sum of its proper divisors (889480961).

2001332133 is a wasteful number, since it uses less digits than its factorization.

2001332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222370243 (or 222370240 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2001332133 is about 44736.2507704881. The cubic root of 2001332133 is about 1260.2007182128.

Adding to 2001332133 its reverse (3312331002), we get a palindrome (5313663135).

The spelling of 2001332133 in words is "two billion, one million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 222370237 667110711 2001332133