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2221135801 is a prime number
BaseRepresentation
bin1000010001100011…
…1101011110111001
312201210110101111221
42010120331132321
514022102321201
61004222352041
7106020225403
oct20430753671
95653411457
102221135801
11a3a856225
1251ba2b621
13295221a51
14170dbdb73
15ceee44a1
hex8463d7b9

2221135801 has 2 divisors, whose sum is σ = 2221135802. Its totient is φ = 2221135800.

The previous prime is 2221135769. The next prime is 2221135811. The reversal of 2221135801 is 1085311222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2218410000 + 2725801 = 47100^2 + 1651^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221135801 - 25 = 2221135769 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221135811) 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, 1110567900 + 1110567901.

It is an arithmetic number, because the mean of its divisors is an integer number (1110567901).

Almost surely, 22221135801 is an apocalyptic number.

It is an amenable number.

2221135801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221135801 is an equidigital number, since it uses as much as digits as its factorization.

2221135801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 2221135801 is about 47128.9274331594. The cubic root of 2221135801 is about 1304.7431859601.

The spelling of 2221135801 in words is "two billion, two hundred twenty-one million, one hundred thirty-five thousand, eight hundred one".