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1221303313 is a prime number
BaseRepresentation
bin100100011001011…
…1001110000010001
310011010002122012001
41020302321300101
510000123201223
6321104434001
742156623026
oct11062716021
93133078161
101221303313
1157743728a
122a1018901
13166042ba9
14b82b754d
15723479ad
hex48cb9c11

1221303313 has 2 divisors, whose sum is σ = 1221303314. Its totient is φ = 1221303312.

The previous prime is 1221303287. The next prime is 1221303323. The reversal of 1221303313 is 3133031221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 698174929 + 523128384 = 26423^2 + 22872^2 .

It is a cyclic number.

It is not a de Polignac number, because 1221303313 - 213 = 1221295121 is a prime.

It is not a weakly prime, because it can be changed into another prime (1221303323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610651656 + 610651657.

It is an arithmetic number, because the mean of its divisors is an integer number (610651657).

Almost surely, 21221303313 is an apocalyptic number.

It is an amenable number.

1221303313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221303313 is an equidigital number, since it uses as much as digits as its factorization.

1221303313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1221303313 is about 34947.1502843937. The cubic root of 1221303313 is about 1068.9100943762.

Adding to 1221303313 its reverse (3133031221), we get a palindrome (4354334534).

The spelling of 1221303313 in words is "one billion, two hundred twenty-one million, three hundred three thousand, three hundred thirteen".