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221001102149 is a prime number
BaseRepresentation
bin1100110111010010110…
…0010011001101000101
3210010102221120012201112
43031310230103031011
512110102240232044
6245305420334405
721652420242032
oct3156454231505
9703387505645
10221001102149
11857a93a7073
12369b89a4405
1317ac022b839
14a9a7320389
155b3703d09e
hex3374b13345

221001102149 has 2 divisors, whose sum is σ = 221001102150. Its totient is φ = 221001102148.

The previous prime is 221001102071. The next prime is 221001102167. The reversal of 221001102149 is 941201100122.

221001102149 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., 150635581924 + 70365520225 = 388118^2 + 265265^2 .

It is a cyclic number.

It is not a de Polignac number, because 221001102149 - 212 = 221001098053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221001102199) 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, 110500551074 + 110500551075.

It is an arithmetic number, because the mean of its divisors is an integer number (110500551075).

Almost surely, 2221001102149 is an apocalyptic number.

It is an amenable number.

221001102149 is a deficient number, since it is larger than the sum of its proper divisors (1).

221001102149 is an equidigital number, since it uses as much as digits as its factorization.

221001102149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 221001102149 in words is "two hundred twenty-one billion, one million, one hundred two thousand, one hundred forty-nine".