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1006010221 is a prime number
BaseRepresentation
bin111011111101100…
…111111101101101
32121002222121120211
4323331213331231
54030014311341
6243454142421
733633642256
oct7375477555
92532877524
101006010221
11476959407
12240ab1a11
13130562a28
1497873b2d
155d4bc181
hex3bf67f6d

1006010221 has 2 divisors, whose sum is σ = 1006010222. Its totient is φ = 1006010220.

The previous prime is 1006010219. The next prime is 1006010237. The reversal of 1006010221 is 1220106001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 929640100 + 76370121 = 30490^2 + 8739^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006010221 - 21 = 1006010219 is a prime.

Together with 1006010219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006010281) 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, 503005110 + 503005111.

It is an arithmetic number, because the mean of its divisors is an integer number (503005111).

Almost surely, 21006010221 is an apocalyptic number.

It is an amenable number.

1006010221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006010221 is an equidigital number, since it uses as much as digits as its factorization.

1006010221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1006010221 is about 31717.6641794442. The cubic root of 1006010221 is about 1001.9994067085. Note that the first 3 decimals are identical.

Adding to 1006010221 its reverse (1220106001), we get a palindrome (2226116222).

The spelling of 1006010221 in words is "one billion, six million, ten thousand, two hundred twenty-one".