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10126515073 is a prime number
BaseRepresentation
bin10010110111001011…
…00101101110000001
3222010201211021011211
421123211211232001
5131214341440243
64352502210121
7505641646363
oct113345455601
928121737154
1010126515073
114327176724
121b67423941
13c54c8596c
146c0c96d33
153e404dd9d
hex25b965b81

10126515073 has 2 divisors, whose sum is σ = 10126515074. Its totient is φ = 10126515072.

The previous prime is 10126515071. The next prime is 10126515131. The reversal of 10126515073 is 37051562101.

10126515073 is digitally balanced in base 2, 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., 9861085809 + 265429264 = 99303^2 + 16292^2 .

It is a cyclic number.

It is not a de Polignac number, because 10126515073 - 21 = 10126515071 is a prime.

Together with 10126515071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10126515071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5063257536 + 5063257537.

It is an arithmetic number, because the mean of its divisors is an integer number (5063257537).

Almost surely, 210126515073 is an apocalyptic number.

It is an amenable number.

10126515073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10126515073 is an equidigital number, since it uses as much as digits as its factorization.

10126515073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 10126515073 in words is "ten billion, one hundred twenty-six million, five hundred fifteen thousand, seventy-three".