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10084030441 is a prime number
BaseRepresentation
bin10010110010000111…
…00001011111101001
3222000202212211012221
421121003201133221
5131123002433231
64344343434041
7504614562442
oct113103413751
928022784187
1010084030441
114305199361
121b55155921
13c4922c224
146b93982c9
153e045ad11
hex2590e17e9

10084030441 has 2 divisors, whose sum is σ = 10084030442. Its totient is φ = 10084030440.

The previous prime is 10084030367. The next prime is 10084030487. The reversal of 10084030441 is 14403048001.

10084030441 is digitally balanced in base 2, 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., 8103780441 + 1980250000 = 90021^2 + 44500^2 .

It is a cyclic number.

It is not a de Polignac number, because 10084030441 - 29 = 10084029929 is a prime.

It is not a weakly prime, because it can be changed into another prime (10084030241) 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, 5042015220 + 5042015221.

It is an arithmetic number, because the mean of its divisors is an integer number (5042015221).

Almost surely, 210084030441 is an apocalyptic number.

It is an amenable number.

10084030441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10084030441 is an equidigital number, since it uses as much as digits as its factorization.

10084030441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10084030441 its reverse (14403048001), we get a palindrome (24487078442).

The spelling of 10084030441 in words is "ten billion, eighty-four million, thirty thousand, four hundred forty-one".