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441311121 = 32107487941
BaseRepresentation
bin11010010011011…
…101111110010001
31010202101221001100
4122103131332101
51400433423441
6111442455013
713636040226
oct3223357621
91122357040
10441311121
11207121639
12103964469
1370576b54
144287994d
1528b23cb6
hex1a4ddf91

441311121 has 24 divisors (see below), whose sum is σ = 645413184. Its totient is φ = 290550240.

The previous prime is 441311093. The next prime is 441311147. The reversal of 441311121 is 121113144.

It is not a de Polignac number, because 441311121 - 27 = 441310993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 441311094 and 441311103.

It is not an unprimeable number, because it can be changed into a prime (441301121) 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, 468511 + ... + 469451.

It is an arithmetic number, because the mean of its divisors is an integer number (26892216).

Almost surely, 2441311121 is an apocalyptic number.

It is an amenable number.

441311121 is a deficient number, since it is larger than the sum of its proper divisors (204102063).

441311121 is a wasteful number, since it uses less digits than its factorization.

441311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1538 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 441311121 is about 21007.4063368137. The cubic root of 441311121 is about 761.3452173681.

Adding to 441311121 its reverse (121113144), we get a palindrome (562424265).

The spelling of 441311121 in words is "four hundred forty-one million, three hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 107 321 487 941 963 1461 2823 4383 8469 52109 100687 156327 302061 458267 468981 906183 1374801 4124403 49034569 147103707 441311121