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2001222200249 is a prime number
BaseRepresentation
bin11101000111110010001…
…000110110101110111001
321002022111121122001111222
4131013302020312232321
5230242000340401444
64131203201001425
7264404103015056
oct35076210665671
97068447561458
102001222200249
1170179383aa38
12283a25323275
1311693982c59c
146cc06d1c02d
15370ca450eee
hex1d1f2236bb9

2001222200249 has 2 divisors, whose sum is σ = 2001222200250. Its totient is φ = 2001222200248.

The previous prime is 2001222200231. The next prime is 2001222200287. The reversal of 2001222200249 is 9420022221002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1961554308025 + 39667892224 = 1400555^2 + 199168^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001222200249 - 28 = 2001222199993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001222200149) 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, 1000611100124 + 1000611100125.

It is an arithmetic number, because the mean of its divisors is an integer number (1000611100125).

Almost surely, 22001222200249 is an apocalyptic number.

It is an amenable number.

2001222200249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001222200249 is an equidigital number, since it uses as much as digits as its factorization.

2001222200249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 2001222200249 in words is "two trillion, one billion, two hundred twenty-two million, two hundred thousand, two hundred forty-nine".