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2000111221 is a prime number
BaseRepresentation
bin111011100110111…
…0100011001110101
312011101120011210101
41313031310121311
513044012024341
6530245154101
7100364444023
oct16715643165
95141504711
102000111221
11937013189
124799bb931
1325b4b5b84
1414d8c7713
15ba8d5831
hex77374675

2000111221 has 2 divisors, whose sum is σ = 2000111222. Its totient is φ = 2000111220.

The previous prime is 2000111219. The next prime is 2000111233. The reversal of 2000111221 is 1221110002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1910127025 + 89984196 = 43705^2 + 9486^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000111221 - 21 = 2000111219 is a prime.

It is a super-2 number, since 2×20001112212 = 8000889792740221682, which contains 22 as substring.

Together with 2000111219, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2000111198 and 2000111207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000111021) 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, 1000055610 + 1000055611.

It is an arithmetic number, because the mean of its divisors is an integer number (1000055611).

Almost surely, 22000111221 is an apocalyptic number.

It is an amenable number.

2000111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000111221 is an equidigital number, since it uses as much as digits as its factorization.

2000111221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2000111221 is about 44722.6030212911. The cubic root of 2000111221 is about 1259.9444044085.

Adding to 2000111221 its reverse (1221110002), we get a palindrome (3221221223).

The spelling of 2000111221 in words is "two billion, one hundred eleven thousand, two hundred twenty-one".