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1302000013 is a prime number
BaseRepresentation
bin100110110011010…
…1111000110001101
310100201221110020201
41031212233012031
510131303000023
6333110213501
744156550256
oct11546570615
93321843221
101302000013
11608a43976
12304054291
13179988412
14c4cc1b2d
1579487bad
hex4d9af18d

1302000013 has 2 divisors, whose sum is σ = 1302000014. Its totient is φ = 1302000012.

The previous prime is 1301999999. The next prime is 1302000017. The reversal of 1302000013 is 3100002031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1176627204 + 125372809 = 34302^2 + 11197^2 .

It is a cyclic number.

It is not a de Polignac number, because 1302000013 - 25 = 1301999981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1302000017) 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, 651000006 + 651000007.

It is an arithmetic number, because the mean of its divisors is an integer number (651000007).

Almost surely, 21302000013 is an apocalyptic number.

It is an amenable number.

1302000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1302000013 is an equidigital number, since it uses as much as digits as its factorization.

1302000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1302000013 is about 36083.2372854765. The cubic root of 1302000013 is about 1091.9522885786.

Adding to 1302000013 its reverse (3100002031), we get a palindrome (4402002044).

The spelling of 1302000013 in words is "one billion, three hundred two million, thirteen", and thus it is an aban number.