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221000200049 is a prime number
BaseRepresentation
bin1100110111010010100…
…0110110111101110001
3210010102212212101021102
43031310220312331301
512110102022400144
6245305345134145
721652406464016
oct3156450667561
9703385771242
10221000200049
11857a8940332
12369b862a355
1317abcca4055
14a9a716770d
155b36e10b4e
hex3374a36f71

221000200049 has 2 divisors, whose sum is σ = 221000200050. Its totient is φ = 221000200048.

The previous prime is 221000200013. The next prime is 221000200051. The reversal of 221000200049 is 940002000122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144196391824 + 76803808225 = 379732^2 + 277135^2 .

It is a cyclic number.

It is not a de Polignac number, because 221000200049 - 224 = 220983422833 is a prime.

It is a super-3 number, since 3×2210002000493 (a number of 35 digits) contains 333 as substring.

Together with 221000200051, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221000200049.

It is not a weakly prime, because it can be changed into another prime (221000203049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500100024 + 110500100025.

It is an arithmetic number, because the mean of its divisors is an integer number (110500100025).

Almost surely, 2221000200049 is an apocalyptic number.

It is an amenable number.

221000200049 is a deficient number, since it is larger than the sum of its proper divisors (1).

221000200049 is an equidigital number, since it uses as much as digits as its factorization.

221000200049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 221000200049 in words is "two hundred twenty-one billion, two hundred thousand, forty-nine".