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2221110121193 is a prime number
BaseRepresentation
bin100000010100100100011…
…110101101001011101001
321212100001222112210200222
4200110210132231023221
5242342313142334233
64420210334135425
7316320115344635
oct40244436551351
97770058483628
102221110121193
11786a70839537
122ba571351575
131315b0243902
147970646bdc5
153cb998a2898
hex205247ad2e9

2221110121193 has 2 divisors, whose sum is σ = 2221110121194. Its totient is φ = 2221110121192.

The previous prime is 2221110121171. The next prime is 2221110121247. The reversal of 2221110121193 is 3911210111222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1781869907689 + 439240213504 = 1334867^2 + 662752^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221110121193 - 236 = 2152390644457 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221110121123) 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, 1110555060596 + 1110555060597.

It is an arithmetic number, because the mean of its divisors is an integer number (1110555060597).

Almost surely, 22221110121193 is an apocalyptic number.

It is an amenable number.

2221110121193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221110121193 is an equidigital number, since it uses as much as digits as its factorization.

2221110121193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 2221110121193 in words is "two trillion, two hundred twenty-one billion, one hundred ten million, one hundred twenty-one thousand, one hundred ninety-three".