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10300100009 is a prime number
BaseRepresentation
bin10011001011110111…
…10000110110101001
3222120211110021221112
421211323300312221
5132043311200014
64422022520105
7513150256043
oct114573606651
928524407845
1010300100009
114406157651
121bb5596035
13c81c21944
146d9d60a93
154043db73e
hex265ef0da9

10300100009 has 2 divisors, whose sum is σ = 10300100010. Its totient is φ = 10300100008.

The previous prime is 10300100003. The next prime is 10300100023. The reversal of 10300100009 is 90000100301.

It is an a-pointer prime, because the next prime (10300100023) can be obtained adding 10300100009 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10195344784 + 104755225 = 100972^2 + 10235^2 .

It is a cyclic number.

It is not a de Polignac number, because 10300100009 - 28 = 10300099753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10300099966 and 10300100002.

It is not a weakly prime, because it can be changed into another prime (10300100003) 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, 5150050004 + 5150050005.

It is an arithmetic number, because the mean of its divisors is an integer number (5150050005).

Almost surely, 210300100009 is an apocalyptic number.

It is an amenable number.

10300100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10300100009 is an equidigital number, since it uses as much as digits as its factorization.

10300100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The spelling of 10300100009 in words is "ten billion, three hundred million, one hundred thousand, nine".