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10217222221 is a prime number
BaseRepresentation
bin10011000001111111…
…00111000001001101
3222101001111122222211
421200333213001031
5131411102102341
64405502310421
7511122645613
oct114077470115
928331448884
1010217222221
1143733a0308
121b91888411
13c6a9c472b
146ccd496b3
153ebeba181
hex260fe704d

10217222221 has 2 divisors, whose sum is σ = 10217222222. Its totient is φ = 10217222220.

The previous prime is 10217222153. The next prime is 10217222273. The reversal of 10217222221 is 12222271201.

10217222221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9019300900 + 1197921321 = 94970^2 + 34611^2 .

It is a cyclic number.

It is not a de Polignac number, because 10217222221 - 215 = 10217189453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10217222192 and 10217222201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10217222021) 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, 5108611110 + 5108611111.

It is an arithmetic number, because the mean of its divisors is an integer number (5108611111).

Almost surely, 210217222221 is an apocalyptic number.

It is an amenable number.

10217222221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10217222221 is an equidigital number, since it uses as much as digits as its factorization.

10217222221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 22.

Adding to 10217222221 its reverse (12222271201), we get a palindrome (22439493422).

The spelling of 10217222221 in words is "ten billion, two hundred seventeen million, two hundred twenty-two thousand, two hundred twenty-one".