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1305312311 is a prime number
BaseRepresentation
bin100110111001101…
…0111110000110111
310100222011201212102
41031303113300313
510133124443221
6333305212315
744226654152
oct11563276067
93328151772
101305312311
1160a8a6506
1230519109b
1317a577c64
14c5504c99
15798de30b
hex4dcd7c37

1305312311 has 2 divisors, whose sum is σ = 1305312312. Its totient is φ = 1305312310.

The previous prime is 1305312289. The next prime is 1305312317. The reversal of 1305312311 is 1132135031.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1305312311 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1305312317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652656155 + 652656156.

It is an arithmetic number, because the mean of its divisors is an integer number (652656156).

Almost surely, 21305312311 is an apocalyptic number.

1305312311 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305312311 is an equidigital number, since it uses as much as digits as its factorization.

1305312311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 1305312311 is about 36129.1061472603. The cubic root of 1305312311 is about 1092.8774827816.

Adding to 1305312311 its reverse (1132135031), we get a palindrome (2437447342).

The spelling of 1305312311 in words is "one billion, three hundred five million, three hundred twelve thousand, three hundred eleven".