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221021120249 is a prime number
BaseRepresentation
bin1100110111010111100…
…0101010011011111001
3210010111100020020101122
43031311320222123321
512110122401321444
6245311413355025
721653052344606
oct3156570523371
9703440206348
10221021120249
1185809729a56
1236a03638a75
1317ac441a277
14a9a9c516ad
155b38b944ee
hex3375e2a6f9

221021120249 has 2 divisors, whose sum is σ = 221021120250. Its totient is φ = 221021120248.

The previous prime is 221021120213. The next prime is 221021120381. The reversal of 221021120249 is 942021120122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219131653225 + 1889467024 = 468115^2 + 43468^2 .

It is a cyclic number.

It is not a de Polignac number, because 221021120249 - 28 = 221021119993 is a prime.

It is a super-2 number, since 2×2210211202492 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (221021120209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110510560124 + 110510560125.

It is an arithmetic number, because the mean of its divisors is an integer number (110510560125).

Almost surely, 2221021120249 is an apocalyptic number.

It is an amenable number.

221021120249 is a deficient number, since it is larger than the sum of its proper divisors (1).

221021120249 is an equidigital number, since it uses as much as digits as its factorization.

221021120249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 221021120249 in words is "two hundred twenty-one billion, twenty-one million, one hundred twenty thousand, two hundred forty-nine".