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4441312100 = 225244413121
BaseRepresentation
bin1000010001011100…
…10000101101100100
3102110112010000211202
410020232100231210
533043433441400
62012412422032
7215026346531
oct41056205544
912415100752
104441312100
11197a006575
12a3b477918
1355a198b34
14301bcdd88
151aed994d5
hex108b90b64

4441312100 has 18 divisors (see below), whose sum is σ = 9637647474. Its totient is φ = 1776524800.

The previous prime is 4441312081. The next prime is 4441312129. The reversal of 4441312100 is 12131444.

It can be written as a sum of positive squares in 3 ways, for example, as 1557407296 + 2883904804 = 39464^2 + 53702^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 22206461 + ... + 22206660.

Almost surely, 24441312100 is an apocalyptic number.

It is an amenable number.

4441312100 is an abundant number, since it is smaller than the sum of its proper divisors (5196335374).

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

4441312100 is a wasteful number, since it uses less digits than its factorization.

4441312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44413135 (or 44413128 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4441312100 is about 66643.1699426130. The cubic root of 4441312100 is about 1643.7550408265.

Adding to 4441312100 its reverse (12131444), we get a palindrome (4453443544).

The spelling of 4441312100 in words is "four billion, four hundred forty-one million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 44413121 88826242 177652484 222065605 444131210 888262420 1110328025 2220656050 4441312100