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3000133130333 is a prime number
BaseRepresentation
bin101011101010000101110…
…111101001100001011101
3101121210212102202222221012
4223222011313221201131
5343123233040132313
610214124144545005
7426516044563133
oct53520567514135
911553772688835
103000133130333
11a57392a36549
12405542622165
13189bb02a3451
14a52c886d753
155309128eda8
hex2ba85de985d

3000133130333 has 2 divisors, whose sum is σ = 3000133130334. Its totient is φ = 3000133130332.

The previous prime is 3000133130321. The next prime is 3000133130359. The reversal of 3000133130333 is 3330313310003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1779457285369 + 1220675844964 = 1333963^2 + 1104842^2 .

It is a cyclic number.

It is not a de Polignac number, because 3000133130333 - 230 = 2999059388509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3000133130299 and 3000133130308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000133130233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500066565166 + 1500066565167.

It is an arithmetic number, because the mean of its divisors is an integer number (1500066565167).

Almost surely, 23000133130333 is an apocalyptic number.

It is an amenable number.

3000133130333 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000133130333 is an equidigital number, since it uses as much as digits as its factorization.

3000133130333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 23.

Adding to 3000133130333 its reverse (3330313310003), we get a palindrome (6330446440336).

The spelling of 3000133130333 in words is "three trillion, one hundred thirty-three million, one hundred thirty thousand, three hundred thirty-three".