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2221135331 is a prime number
BaseRepresentation
bin1000010001100011…
…1101010111100011
312201210110100212112
42010120331113203
514022102312311
61004222345535
7106020224132
oct20430752743
95653410775
102221135331
11a3a855938
1251ba2b2ab
1329522177c
14170dbd919
15ceee428b
hex8463d5e3

2221135331 has 2 divisors, whose sum is σ = 2221135332. Its totient is φ = 2221135330.

The previous prime is 2221135309. The next prime is 2221135351. The reversal of 2221135331 is 1335311222.

2221135331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221135331 is a prime.

It is a super-2 number, since 2×22211353312 = 9866884317232959122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2221135297 and 2221135306.

It is not a weakly prime, because it can be changed into another prime (2221135351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110567665 + 1110567666.

It is an arithmetic number, because the mean of its divisors is an integer number (1110567666).

Almost surely, 22221135331 is an apocalyptic number.

2221135331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221135331 is an equidigital number, since it uses as much as digits as its factorization.

2221135331 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080, while the sum is 23.

The square root of 2221135331 is about 47128.9224468372. The cubic root of 2221135331 is about 1304.7430939307.

Adding to 2221135331 its reverse (1335311222), we get a palindrome (3556446553).

The spelling of 2221135331 in words is "two billion, two hundred twenty-one million, one hundred thirty-five thousand, three hundred thirty-one".