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10041728029 is a prime number
BaseRepresentation
bin10010101101000100…
…01001110000011101
3221220211021122012221
421112202021300131
5131031140244104
64340233025341
7503562165004
oct112642116035
927824248187
1010041728029
114293325993
121b42b55251
13c4053a708
146b3905c3b
153db8a1c54
hex256889c1d

10041728029 has 2 divisors, whose sum is σ = 10041728030. Its totient is φ = 10041728028.

The previous prime is 10041728023. The next prime is 10041728069. The reversal of 10041728029 is 92082714001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9479943225 + 561784804 = 97365^2 + 23702^2 .

It is an emirp because it is prime and its reverse (92082714001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10041728029 - 27 = 10041727901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10041727985 and 10041728003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10041728023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5020864014 + 5020864015.

It is an arithmetic number, because the mean of its divisors is an integer number (5020864015).

Almost surely, 210041728029 is an apocalyptic number.

It is an amenable number.

10041728029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10041728029 is an equidigital number, since it uses as much as digits as its factorization.

10041728029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 10041728029 in words is "ten billion, forty-one million, seven hundred twenty-eight thousand, twenty-nine".