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10320300013 is a prime number
BaseRepresentation
bin10011001110010001…
…10100011111101101
3222122020110120010211
421213020310133231
5132113444100023
64424023502421
7513514050142
oct114710643755
928566416124
1010320300013
1144165a4171
1220002b7a11
13c861750ca
146dc8dc3c9
1540607ba0d
hex2672347ed

10320300013 has 2 divisors, whose sum is σ = 10320300014. Its totient is φ = 10320300012.

The previous prime is 10320299987. The next prime is 10320300037. The reversal of 10320300013 is 31000302301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8116748649 + 2203551364 = 90093^2 + 46942^2 .

It is a cyclic number.

It is not a de Polignac number, because 10320300013 - 25 = 10320299981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10320299966 and 10320300002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10320300113) 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, 5160150006 + 5160150007.

It is an arithmetic number, because the mean of its divisors is an integer number (5160150007).

Almost surely, 210320300013 is an apocalyptic number.

It is an amenable number.

10320300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10320300013 is an equidigital number, since it uses as much as digits as its factorization.

10320300013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10320300013 its reverse (31000302301), we get a palindrome (41320602314).

The spelling of 10320300013 in words is "ten billion, three hundred twenty million, three hundred thousand, thirteen".