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10306945729 is a prime number
BaseRepresentation
bin10011001100101011…
…11000001011000001
3222121022100002111201
421212111320023001
5132102034230404
64422425341201
7513262410313
oct114625701301
928538302451
1010306945729
11440a002973
121bb7937801
13c8347a872
146dac237b3
15404cdeca4
hex2665782c1

10306945729 has 2 divisors, whose sum is σ = 10306945730. Its totient is φ = 10306945728.

The previous prime is 10306945723. The next prime is 10306945757. The reversal of 10306945729 is 92754960301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10291696704 + 15249025 = 101448^2 + 3905^2 .

It is an emirp because it is prime and its reverse (92754960301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10306945729 - 23 = 10306945721 is a prime.

It is not a weakly prime, because it can be changed into another prime (10306945721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5153472864 + 5153472865.

It is an arithmetic number, because the mean of its divisors is an integer number (5153472865).

Almost surely, 210306945729 is an apocalyptic number.

It is an amenable number.

10306945729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10306945729 is an equidigital number, since it uses as much as digits as its factorization.

10306945729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 10306945729 in words is "ten billion, three hundred six million, nine hundred forty-five thousand, seven hundred twenty-nine".