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1333200213 = 32536734153
BaseRepresentation
bin100111101110111…
…0000010101010101
310102220122120212200
41033131300111111
510212244401323
6340143035113
745016005042
oct11735602525
93386576780
101333200213
11624614064
1231259ba99
13183290787
14c90c41c9
157c09c443
hex4f770555

1333200213 has 24 divisors (see below), whose sum is σ = 1965456792. Its totient is φ = 870524928.

The previous prime is 1333200181. The next prime is 1333200223. The reversal of 1333200213 is 3120023331.

1333200213 is a `hidden beast` number, since 133 + 320 + 0 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8749764 + 1324450449 = 2958^2 + 36393^2 .

It is not a de Polignac number, because 1333200213 - 25 = 1333200181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333200223) 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, 318945 + ... + 323097.

It is an arithmetic number, because the mean of its divisors is an integer number (81894033).

Almost surely, 21333200213 is an apocalyptic number.

It is an amenable number.

1333200213 is a deficient number, since it is larger than the sum of its proper divisors (632256579).

1333200213 is a wasteful number, since it uses less digits than its factorization.

1333200213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885 (or 4882 counting only the distinct ones).

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

The square root of 1333200213 is about 36513.0142962752. The cubic root of 1333200213 is about 1100.6057856078.

Adding to 1333200213 its reverse (3120023331), we get a palindrome (4453223544).

The spelling of 1333200213 in words is "one billion, three hundred thirty-three million, two hundred thousand, two hundred thirteen".

Divisors: 1 3 9 53 159 477 673 2019 4153 6057 12459 35669 37377 107007 220109 321021 660327 1980981 2794969 8384907 25154721 148133357 444400071 1333200213