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2000133221 is a prime number
BaseRepresentation
bin111011100110111…
…1001110001100101
312011101121021222012
41313031321301211
513044013230341
6530245444005
7100364565122
oct16715716145
95141537865
102000133221
11937028769
12479a10605
1325b4c2ba8
1414d8d1749
15ba8dc0eb
hex77379c65

2000133221 has 2 divisors, whose sum is σ = 2000133222. Its totient is φ = 2000133220.

The previous prime is 2000133203. The next prime is 2000133241. The reversal of 2000133221 is 1223310002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1076824225 + 923308996 = 32815^2 + 30386^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2000133221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000133196 and 2000133205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000133241) 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 as a sum of consecutive naturals, namely, 1000066610 + 1000066611.

It is an arithmetic number, because the mean of its divisors is an integer number (1000066611).

Almost surely, 22000133221 is an apocalyptic number.

It is an amenable number.

2000133221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000133221 is an equidigital number, since it uses as much as digits as its factorization.

2000133221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2000133221 is about 44722.8489812534. The cubic root of 2000133221 is about 1259.9490239308.

Adding to 2000133221 its reverse (1223310002), we get a palindrome (3223443223).

The spelling of 2000133221 in words is "two billion, one hundred thirty-three thousand, two hundred twenty-one".