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10033201873 is a prime number
BaseRepresentation
bin10010101100000011…
…01000001011010001
3221220020020110112101
421112001220023101
5131021444424443
64335330200401
7503426544262
oct112601501321
927806213471
1010033201873
114289532082
121b40123101
13c3b843956
146b2726969
153dac6a84d
hex2560682d1

10033201873 has 2 divisors, whose sum is σ = 10033201874. Its totient is φ = 10033201872.

The previous prime is 10033201817. The next prime is 10033201889. The reversal of 10033201873 is 37810233001.

10033201873 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9982407744 + 50794129 = 99912^2 + 7127^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033201873 - 29 = 10033201361 is a prime.

It is not a weakly prime, because it can be changed into another prime (10033201273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016600936 + 5016600937.

It is an arithmetic number, because the mean of its divisors is an integer number (5016600937).

Almost surely, 210033201873 is an apocalyptic number.

It is an amenable number.

10033201873 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033201873 is an equidigital number, since it uses as much as digits as its factorization.

10033201873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 10033201873 its reverse (37810233001), we get a palindrome (47843434874).

The spelling of 10033201873 in words is "ten billion, thirty-three million, two hundred one thousand, eight hundred seventy-three".