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2221956994177 is a prime number
BaseRepresentation
bin100000010101010110111…
…101010001010010000001
321212102021000002102001001
4200111112331101102001
5242401031442303202
64420430345412001
7316350110553244
oct40252675212201
97772230072031
102221956994177
11787365884768
122ba768a9a001
131316b682879b
1479786b1925b
153cbe8dd7d87
hex20556f51481

2221956994177 has 2 divisors, whose sum is σ = 2221956994178. Its totient is φ = 2221956994176.

The previous prime is 2221956994141. The next prime is 2221956994181. The reversal of 2221956994177 is 7714996591222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1859620415041 + 362336579136 = 1363679^2 + 601944^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221956994177 - 227 = 2221822776449 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221956944177) 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, 1110978497088 + 1110978497089.

It is an arithmetic number, because the mean of its divisors is an integer number (1110978497089).

Almost surely, 22221956994177 is an apocalyptic number.

It is an amenable number.

2221956994177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221956994177 is an equidigital number, since it uses as much as digits as its factorization.

2221956994177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34292160, while the sum is 64.

The spelling of 2221956994177 in words is "two trillion, two hundred twenty-one billion, nine hundred fifty-six million, nine hundred ninety-four thousand, one hundred seventy-seven".