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1002224221 is a prime number
BaseRepresentation
bin111011101111001…
…011101001011101
32120211212021011121
4323233023221131
54023032133341
6243241050541
733556523335
oct7357135135
92524767147
101002224221
11474802989
1223b786a51
1312c8386ab
149716a0c5
155cec04d1
hex3bbcba5d

1002224221 has 2 divisors, whose sum is σ = 1002224222. Its totient is φ = 1002224220.

The previous prime is 1002224219. The next prime is 1002224231. The reversal of 1002224221 is 1224222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 838102500 + 164121721 = 28950^2 + 12811^2 .

It is an emirp because it is prime and its reverse (1224222001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1002224221 - 21 = 1002224219 is a prime.

Together with 1002224219, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1002224195 and 1002224204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002224231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501112110 + 501112111.

It is an arithmetic number, because the mean of its divisors is an integer number (501112111).

Almost surely, 21002224221 is an apocalyptic number.

It is an amenable number.

1002224221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002224221 is an equidigital number, since it uses as much as digits as its factorization.

1002224221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1002224221 is about 31657.9250899360. The cubic root of 1002224221 is about 1000.7408579939.

Adding to 1002224221 its reverse (1224222001), we get a palindrome (2226446222).

It can be divided in two parts, 10022 and 24221, that added together give a palindrome (34243).

The spelling of 1002224221 in words is "one billion, two million, two hundred twenty-four thousand, two hundred twenty-one".