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10444004103 = 3133736911039
BaseRepresentation
bin10011011101000001…
…01101101100000111
3222221212020101020210
421232200231230013
5132342131112403
64444203130503
7516545366361
oct115640555407
928855211223
1010444004103
11447a405955
122035813a33
13ca5997cb0
147110ddd31
15411d64b03
hex26e82db07

10444004103 has 32 divisors (see below), whose sum is σ = 15072977920. Its totient is φ = 6394412160.

The previous prime is 10444004089. The next prime is 10444004107. The reversal of 10444004103 is 30140044401.

10444004103 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 10444004103 - 210 = 10444003079 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10444004103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444004107) 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 31 ways as a sum of consecutive naturals, for example, 10051458 + ... + 10052496.

It is an arithmetic number, because the mean of its divisors is an integer number (471030560).

Almost surely, 210444004103 is an apocalyptic number.

10444004103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10444004103 is a deficient number, since it is larger than the sum of its proper divisors (4628973817).

10444004103 is a wasteful number, since it uses less digits than its factorization.

10444004103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10444004103 its reverse (30140044401), we get a palindrome (40584048504).

The spelling of 10444004103 in words is "ten billion, four hundred forty-four million, four thousand, one hundred three".

Divisors: 1 3 13 39 373 691 1039 1119 2073 3117 4849 8983 13507 14547 26949 40521 257743 387547 717949 773229 1162641 2153847 3350659 5038111 9333337 10051977 15114333 28000011 267794977 803384931 3481334701 10444004103