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2221010921 is a prime number
BaseRepresentation
bin1000010001100001…
…1110111111101001
312201210020001012202
42010120132333221
514022034322141
61004215545545
7106016165333
oct20430367751
95653201182
102221010921
11a3a780418
1251b98b2b5
132951a9c5c
14170d8a453
15ceebc49b
hex8461efe9

2221010921 has 2 divisors, whose sum is σ = 2221010922. Its totient is φ = 2221010920.

The previous prime is 2221010881. The next prime is 2221011007. The reversal of 2221010921 is 1290101222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1329331600 + 891679321 = 36460^2 + 29861^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221010921 - 214 = 2220994537 is a prime.

It is a super-2 number, since 2×22210109212 = 9865779022402536482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2221010893 and 2221010902.

It is not a weakly prime, because it can be changed into another prime (2221010621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110505460 + 1110505461.

It is an arithmetic number, because the mean of its divisors is an integer number (1110505461).

Almost surely, 22221010921 is an apocalyptic number.

It is an amenable number.

2221010921 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221010921 is an equidigital number, since it uses as much as digits as its factorization.

2221010921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 2221010921 is about 47127.6025382153. The cubic root of 2221010921 is about 1304.7187330980.

The spelling of 2221010921 in words is "two billion, two hundred twenty-one million, ten thousand, nine hundred twenty-one".