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10013431073 is a prime number
BaseRepresentation
bin10010101001101100…
…01101010100100001
3221211212001000002112
421110312031110201
5131001414243243
64333342325105
7503066521412
oct112466152441
927755030075
1010013431073
114279358a78
121b35589795
13c37710959
146adc5b809
153d9162818
hex254d8d521

10013431073 has 2 divisors, whose sum is σ = 10013431074. Its totient is φ = 10013431072.

The previous prime is 10013431019. The next prime is 10013431157. The reversal of 10013431073 is 37013431001.

10013431073 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 can be written as a sum of positive squares in only one way, i.e., 5512765504 + 4500665569 = 74248^2 + 67087^2 .

It is an emirp because it is prime and its reverse (37013431001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10013431073 - 224 = 9996653857 is a prime.

It is not a weakly prime, because it can be changed into another prime (10013431873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006715536 + 5006715537.

It is an arithmetic number, because the mean of its divisors is an integer number (5006715537).

Almost surely, 210013431073 is an apocalyptic number.

It is an amenable number.

10013431073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013431073 is an equidigital number, since it uses as much as digits as its factorization.

10013431073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

Adding to 10013431073 its reverse (37013431001), we get a palindrome (47026862074).

The spelling of 10013431073 in words is "ten billion, thirteen million, four hundred thirty-one thousand, seventy-three".