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221143633313 is a prime number
BaseRepresentation
bin1100110111110100110…
…0000000110110100001
3210010210212202112201112
43031331030000312201
512110400232231223
6245331511313105
721656100603551
oct3157514006641
9703725675645
10221143633313
11858718a7919
1236a3867b795
1317b13913cc5
14a9bc223161
155b447e4778
hex337d300da1

221143633313 has 2 divisors, whose sum is σ = 221143633314. Its totient is φ = 221143633312.

The previous prime is 221143633297. The next prime is 221143633327. The reversal of 221143633313 is 313336341122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121374198544 + 99769434769 = 348388^2 + 315863^2 .

It is a cyclic number.

It is not a de Polignac number, because 221143633313 - 24 = 221143633297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221143633313.

It is not a weakly prime, because it can be changed into another prime (221143630313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110571816656 + 110571816657.

It is an arithmetic number, because the mean of its divisors is an integer number (110571816657).

Almost surely, 2221143633313 is an apocalyptic number.

It is an amenable number.

221143633313 is a deficient number, since it is larger than the sum of its proper divisors (1).

221143633313 is an equidigital number, since it uses as much as digits as its factorization.

221143633313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23328, while the sum is 32.

Adding to 221143633313 its reverse (313336341122), we get a palindrome (534479974435).

The spelling of 221143633313 in words is "two hundred twenty-one billion, one hundred forty-three million, six hundred thirty-three thousand, three hundred thirteen".