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10300101319 is a prime number
BaseRepresentation
bin10011001011110111…
…10001001011000111
3222120211110100202001
421211323301023013
5132043311220234
64422022530131
7513150262624
oct114573611307
928524410661
1010300101319
114406158632
121bb5596947
13c81c22411
146d9d6134b
154043dbd14
hex265ef12c7

10300101319 has 2 divisors, whose sum is σ = 10300101320. Its totient is φ = 10300101318.

The previous prime is 10300101313. The next prime is 10300101347. The reversal of 10300101319 is 91310100301.

It is a happy number.

10300101319 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10300101319 is a prime.

It is a super-2 number, since 2×103001013192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10300101296 and 10300101305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10300101313) 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, 5150050659 + 5150050660.

It is an arithmetic number, because the mean of its divisors is an integer number (5150050660).

Almost surely, 210300101319 is an apocalyptic number.

10300101319 is a deficient number, since it is larger than the sum of its proper divisors (1).

10300101319 is an equidigital number, since it uses as much as digits as its factorization.

10300101319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 19.

The spelling of 10300101319 in words is "ten billion, three hundred million, one hundred one thousand, three hundred nineteen".