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1303113221 is a prime number
BaseRepresentation
bin100110110101011…
…1110111000000101
310100211001000021122
41031222332320011
510132044110341
6333150123325
744202164624
oct11552767005
93324030248
101303113221
11609634283
123044b0545
13179c88017
14c50d16bb
157960794b
hex4dabee05

1303113221 has 2 divisors, whose sum is σ = 1303113222. Its totient is φ = 1303113220.

The previous prime is 1303113193. The next prime is 1303113283. The reversal of 1303113221 is 1223113031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1302849025 + 264196 = 36095^2 + 514^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303113221 - 210 = 1303112197 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 1303113221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1302113221) 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, 651556610 + 651556611.

It is an arithmetic number, because the mean of its divisors is an integer number (651556611).

Almost surely, 21303113221 is an apocalyptic number.

It is an amenable number.

1303113221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303113221 is an equidigital number, since it uses as much as digits as its factorization.

1303113221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1303113221 is about 36098.6595457504. The cubic root of 1303113221 is about 1092.2634057672.

Adding to 1303113221 its reverse (1223113031), we get a palindrome (2526226252).

The spelling of 1303113221 in words is "one billion, three hundred three million, one hundred thirteen thousand, two hundred twenty-one".