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10441200343 = 74124432003
BaseRepresentation
bin10011011100101100…
…00001001011010111
3222221122221221012211
421232112001023113
5132340421402333
64444023054251
7516512511220
oct115626011327
928848857184
1010441200343
1144788703a2
1220348a1387
13ca5225a72
147109b0247
154119adecd
hex26e5812d7

10441200343 has 24 divisors (see below), whose sum is σ = 12264672384. Its totient is φ = 8707258560.

The previous prime is 10441200247. The next prime is 10441200389. The reversal of 10441200343 is 34300214401.

10441200343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10441200343 - 29 = 10441199831 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441200443) 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 23 ways as a sum of consecutive naturals, for example, 5211780 + ... + 5213782.

It is an arithmetic number, because the mean of its divisors is an integer number (511028016).

Almost surely, 210441200343 is an apocalyptic number.

10441200343 is a deficient number, since it is larger than the sum of its proper divisors (1823472041).

10441200343 is an equidigital number, since it uses as much as digits as its factorization.

10441200343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10441200343 its reverse (34300214401), we get a palindrome (44741414744).

The spelling of 10441200343 in words is "ten billion, four hundred forty-one million, two hundred thousand, three hundred forty-three".

Divisors: 1 7 41 287 443 1681 2003 3101 11767 14021 18163 82123 127141 574861 744683 887329 3367043 5212781 6211303 23569301 36380489 254663423 1491600049 10441200343