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131131444000 = 255332782861
BaseRepresentation
bin111101000100000001…
…0110000101100100000
3110112110202221120000011
41322020002300230200
54122024122202000
6140124013534304
712321362611624
oct1721002605440
9415422846004
10131131444000
1150681310817
12214b77a4394
13c49a41481b
1464bd871184
15362735b2ba
hex1e880b0b20

131131444000 has 48 divisors (see below), whose sum is σ = 322189967736. Its totient is φ = 52452576000.

The previous prime is 131131443931. The next prime is 131131444021. The reversal of 131131444000 is 444131131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22998329104 + 108133114896 = 151652^2 + 328836^2 .

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 7 ways as a sum of consecutive naturals, for example, 16387431 + ... + 16395430.

Almost surely, 2131131444000 is an apocalyptic number.

131131444000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131131444000 is an abundant number, since it is smaller than the sum of its proper divisors (191058523736).

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

131131444000 is an equidigital number, since it uses as much as digits as its factorization.

131131444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32782886 (or 32782868 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 131131444000 its reverse (444131131), we get a palindrome (131575575131).

It can be divided in two parts, 131 and 131444000, that added together give a palindrome (131444131).

The spelling of 131131444000 in words is "one hundred thirty-one billion, one hundred thirty-one million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 32782861 65565722 131131444 163914305 262262888 327828610 524525776 655657220 819571525 1049051552 1311314440 1639143050 2622628880 3278286100 4097857625 5245257760 6556572200 8195715250 13113144400 16391430500 26226288800 32782861000 65565722000 131131444000