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10442543321 = 722081102409
BaseRepresentation
bin10011011100110110…
…01001000011011001
3222221202111011102202
421232123021003121
5132341242341241
64444111535545
7516530103500
oct115633110331
928852434382
1010442543321
1144795a83a1
12203522a5b5
13ca55a6122
14710c3d837
15411b76d9b
hex26e6c90d9

10442543321 has 12 divisors (see below), whose sum is σ = 12153404340. Its totient is φ = 8946362880.

The previous prime is 10442543311. The next prime is 10442543323. The reversal of 10442543321 is 12334524401.

10442543321 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 2 ways, for example, as 8357616400 + 2084926921 = 91420^2 + 45661^2 .

It is a de Polignac number, because none of the positive numbers 2k-10442543321 is a prime.

It is a super-2 number, since 2×104425433212 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10442543323) 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 11 ways as a sum of consecutive naturals, for example, 50765 + ... + 153173.

It is an arithmetic number, because the mean of its divisors is an integer number (1012783695).

Almost surely, 210442543321 is an apocalyptic number.

It is an amenable number.

10442543321 is a deficient number, since it is larger than the sum of its proper divisors (1710861019).

10442543321 is a wasteful number, since it uses less digits than its factorization.

10442543321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104504 (or 104497 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 10442543321 in words is "ten billion, four hundred forty-two million, five hundred forty-three thousand, three hundred twenty-one".

Divisors: 1 7 49 2081 14567 101969 102409 716863 5018041 213113129 1491791903 10442543321