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441017101 = 729000349
BaseRepresentation
bin11010010010010…
…110001100001101
31010201211222201201
4122102112030031
51400400021401
6111432305501
713633404100
oct3222261415
91121758651
10441017101
11206a40748
12103842291
13704a3085
1442800737
1528ab6b01
hex1a49630d

441017101 has 6 divisors (see below), whose sum is σ = 513019950. Its totient is φ = 378014616.

The previous prime is 441017099. The next prime is 441017119. The reversal of 441017101 is 101710144.

It can be written as a sum of positive squares in only one way, i.e., 427869225 + 13147876 = 20685^2 + 3626^2 .

It is not a de Polignac number, because 441017101 - 21 = 441017099 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 (441017701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4500126 + ... + 4500223.

It is an arithmetic number, because the mean of its divisors is an integer number (85503325).

Almost surely, 2441017101 is an apocalyptic number.

It is an amenable number.

441017101 is a deficient number, since it is larger than the sum of its proper divisors (72002849).

441017101 is an equidigital number, since it uses as much as digits as its factorization.

441017101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9000363 (or 9000356 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 441017101 is about 21000.4071627195. The cubic root of 441017101 is about 761.1760997536.

Adding to 441017101 its reverse (101710144), we get a palindrome (542727245).

The spelling of 441017101 in words is "four hundred forty-one million, seventeen thousand, one hundred one".

Divisors: 1 7 49 9000349 63002443 441017101