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2202022122217 is a prime number
BaseRepresentation
bin100000000010110010101…
…111110001001011101001
321210111210201002222122221
4200002302233301023221
5242034220130402332
64403332304114041
7315043106132101
oct40026257611351
97714721088587
102202022122217
11779966099375
122b6924905921
1312c85a7a4c68
1478815348201
153c42dc34297
hex200b2bf12e9

2202022122217 has 2 divisors, whose sum is σ = 2202022122218. Its totient is φ = 2202022122216.

The previous prime is 2202022122161. The next prime is 2202022122227. The reversal of 2202022122217 is 7122212202022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2023275811561 + 178746310656 = 1422419^2 + 422784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2202022122217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2202022122191 and 2202022122200.

It is not a weakly prime, because it can be changed into another prime (2202022122227) 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, 1101011061108 + 1101011061109.

It is an arithmetic number, because the mean of its divisors is an integer number (1101011061109).

Almost surely, 22202022122217 is an apocalyptic number.

It is an amenable number.

2202022122217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202022122217 is an equidigital number, since it uses as much as digits as its factorization.

2202022122217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 25.

Adding to 2202022122217 its reverse (7122212202022), we get a palindrome (9324234324239).

The spelling of 2202022122217 in words is "two trillion, two hundred two billion, twenty-two million, one hundred twenty-two thousand, two hundred seventeen".