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441101320 = 235111002503
BaseRepresentation
bin11010010010101…
…010110000001000
31010202000021020221
4122102222300020
51400410220240
6111434155424
713634204452
oct3222526010
91122007227
10441101320
11206a98a50
12103882b74
13705024ca
14428232d2
1528ad1a4a
hex1a4aac08

441101320 has 32 divisors (see below), whose sum is σ = 1082704320. Its totient is φ = 160400320.

The previous prime is 441101317. The next prime is 441101333. The reversal of 441101320 is 23101144.

It is a junction number, because it is equal to n+sod(n) for n = 441101294 and 441101303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500812 + ... + 501691.

It is an arithmetic number, because the mean of its divisors is an integer number (33834510).

Almost surely, 2441101320 is an apocalyptic number.

441101320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441101320 is an abundant number, since it is smaller than the sum of its proper divisors (641603000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441101320 is a wasteful number, since it uses less digits than its factorization.

441101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002525 (or 1002521 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 441101320 is about 21002.4122424068. The cubic root of 441101320 is about 761.2245494317.

Adding to 441101320 its reverse (23101144), we get a palindrome (464202464).

It can be divided in two parts, 441 and 101320, that added together give a square (101761 = 3192).

The spelling of 441101320 in words is "four hundred forty-one million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1002503 2005006 4010012 5012515 8020024 10025030 11027533 20050060 22055066 40100120 44110132 55137665 88220264 110275330 220550660 441101320