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10442411331 = 311615187487
BaseRepresentation
bin10011011100110101…
…01000110101000011
3222221202020110101020
421232122220311003
5132341224130311
64444105040523
7516526013622
oct115632506503
928852213336
1010442411331
114479518210
122035186143
13ca555b021
14710c076b9
15411b4cc06
hex26e6a8d43

10442411331 has 16 divisors (see below), whose sum is σ = 15437964288. Its totient is φ = 6224983200.

The previous prime is 10442411269. The next prime is 10442411333. The reversal of 10442411331 is 13311424401.

10442411331 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 10442411331 - 29 = 10442410819 is a prime.

It is a super-2 number, since 2×104424113312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10442411333) 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 15 ways as a sum of consecutive naturals, for example, 2591731 + ... + 2595756.

It is an arithmetic number, because the mean of its divisors is an integer number (964872768).

Almost surely, 210442411331 is an apocalyptic number.

10442411331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10442411331 is a deficient number, since it is larger than the sum of its proper divisors (4995552957).

10442411331 is a wasteful number, since it uses less digits than its factorization.

10442411331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187562.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10442411331 its reverse (13311424401), we get a palindrome (23753835732).

The spelling of 10442411331 in words is "ten billion, four hundred forty-two million, four hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 11 33 61 183 671 2013 5187487 15562461 57062357 171187071 316436707 949310121 3480803777 10442411331