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10084030442 = 241644919069
BaseRepresentation
bin10010110010000111…
…00001011111101010
3222000202212211012222
421121003201133222
5131123002433232
64344343434042
7504614562443
oct113103413752
928022784188
1010084030442
114305199362
121b55155922
13c4922c225
146b93982ca
153e045ad12
hex2590e17ea

10084030442 has 16 divisors (see below), whose sum is σ = 15498189000. Its totient is φ = 4918018560.

The previous prime is 10084030441. The next prime is 10084030487. The reversal of 10084030442 is 24403048001.

10084030442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10082368921 + 1661521 = 100411^2 + 1289^2 .

It is a super-3 number, since 3×100840304423 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10084030441) 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 in 7 ways as a sum of consecutive naturals, for example, 519284 + ... + 538352.

Almost surely, 210084030442 is an apocalyptic number.

10084030442 is a deficient number, since it is larger than the sum of its proper divisors (5414158558).

10084030442 is a wasteful number, since it uses less digits than its factorization.

10084030442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25561.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10084030442 its reverse (24403048001), we get a palindrome (34487078443).

The spelling of 10084030442 in words is "ten billion, eighty-four million, thirty thousand, four hundred forty-two".

Divisors: 1 2 41 82 6449 12898 19069 38138 264409 528818 781829 1563658 122975981 245951962 5042015221 10084030442