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131123441000 = 2353131123441
BaseRepresentation
bin111101000011110010…
…0001110110101101000
3110112110012212221221202
41322013210032311220
54122020100103000
6140123130223332
712321234600356
oct1720744166550
9415405787852
10131123441000
1150677844a72
12214b4b84b48
13c498871c16
1464bc78a7d6
1536267c9dd5
hex1e8790ed68

131123441000 has 32 divisors (see below), whose sum is σ = 306828854280. Its totient is φ = 52449376000.

The previous prime is 131123440997. The next prime is 131123441063. The reversal of 131123441000 is 144321131.

It can be written as a sum of positive squares in 4 ways, for example, as 69372184996 + 61751256004 = 263386^2 + 248498^2 .

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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65560721 + ... + 65562720.

Almost surely, 2131123441000 is an apocalyptic number.

131123441000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131123441000 is an abundant number, since it is smaller than the sum of its proper divisors (175705413280).

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

131123441000 is a wasteful number, since it uses less digits than its factorization.

131123441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131123462 (or 131123448 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131123441000 its reverse (144321131), we get a palindrome (131267762131).

The spelling of 131123441000 in words is "one hundred thirty-one billion, one hundred twenty-three million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 131123441 262246882 524493764 655617205 1048987528 1311234410 2622468820 3278086025 5244937640 6556172050 13112344100 16390430125 26224688200 32780860250 65561720500 131123441000