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44313423100101 = 3293719861264577
BaseRepresentation
bin10100001001101100001011…
…10101111011100011000101
312210220022200122110212200100
422010312011311323203011
521302012342303200401
6234125145555034313
712222352635332031
oct1204660565734305
9183808618425610
1044313423100101
11131352431007a1
124b782a389b999
131b9597913257c
14ad2ad15811c1
1551ca61a10b86
hex284d85d7b8c5

44313423100101 has 24 divisors (see below), whose sum is σ = 64080058189784. Its totient is φ = 29509156085760.

The previous prime is 44313423100073. The next prime is 44313423100127. The reversal of 44313423100101 is 10100132431344.

44313423100101 is a `hidden beast` number, since 4 + 4 + 3 + 1 + 342 + 310 + 0 + 1 + 0 + 1 = 666.

44313423100101 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 13310465019201 + 31002958080900 = 3648351^2 + 5568030^2 .

It is not a de Polignac number, because 44313423100101 - 25 = 44313423100069 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44313423140101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167355525 + ... + 167620101.

Almost surely, 244313423100101 is an apocalyptic number.

It is an amenable number.

44313423100101 is a deficient number, since it is larger than the sum of its proper divisors (19766635089683).

44313423100101 is a wasteful number, since it uses less digits than its factorization.

44313423100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285381 (or 285378 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 44313423100101 its reverse (10100132431344), we get a palindrome (54413555531445).

The spelling of 44313423100101 in words is "forty-four trillion, three hundred thirteen billion, four hundred twenty-three million, one hundred thousand, one hundred one".

Divisors: 1 3 9 937 2811 8433 19861 59583 178749 264577 793731 2381193 18609757 55829271 167487813 247908649 743725947 2231177841 5254763797 15764291391 47292874173 4923713677789 14771141033367 44313423100101