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20222100221 is a prime number
BaseRepresentation
bin10010110101010101…
…001100001011111101
31221012022110010110212
4102311111030023331
5312403324201341
613142341442205
71314060005261
oct226525141375
957168403425
1020222100221
118637937224
123b04410365
131ba36cc29b
14d9b9bc0a1
157d54dd5eb
hex4b554c2fd

20222100221 has 2 divisors, whose sum is σ = 20222100222. Its totient is φ = 20222100220.

The previous prime is 20222100209. The next prime is 20222100247. The reversal of 20222100221 is 12200122202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16859724025 + 3362376196 = 129845^2 + 57986^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20222100221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20222100196 and 20222100205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20222100271) 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, 10111050110 + 10111050111.

It is an arithmetic number, because the mean of its divisors is an integer number (10111050111).

Almost surely, 220222100221 is an apocalyptic number.

It is an amenable number.

20222100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

20222100221 is an equidigital number, since it uses as much as digits as its factorization.

20222100221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20222100221 its reverse (12200122202), we get a palindrome (32422222423).

The spelling of 20222100221 in words is "twenty billion, two hundred twenty-two million, one hundred thousand, two hundred twenty-one".