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2001114221 is a prime number
BaseRepresentation
bin111011101000110…
…1001010001101101
312011110110010122112
41313101221101231
513044241123341
6530322453405
7100406122151
oct16721512155
95143403575
102001114221
11937638807
1247a204265
1325b777572
1414daa9061
15baa32aeb
hex7746946d

2001114221 has 2 divisors, whose sum is σ = 2001114222. Its totient is φ = 2001114220.

The previous prime is 2001114191. The next prime is 2001114281. The reversal of 2001114221 is 1224111002.

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., 1232992996 + 768121225 = 35114^2 + 27715^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2001114221 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2001114196 and 2001114205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001114281) 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 as a sum of consecutive naturals, namely, 1000557110 + 1000557111.

It is an arithmetic number, because the mean of its divisors is an integer number (1000557111).

Almost surely, 22001114221 is an apocalyptic number.

It is an amenable number.

2001114221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001114221 is an equidigital number, since it uses as much as digits as its factorization.

2001114221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2001114221 is about 44733.8151849359. The cubic root of 2001114221 is about 1260.1549782076.

Adding to 2001114221 its reverse (1224111002), we get a palindrome (3225225223).

The spelling of 2001114221 in words is "two billion, one million, one hundred fourteen thousand, two hundred twenty-one".