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131105180 = 22519932941
BaseRepresentation
bin1111101000010…
…00000110011100
3100010200211111102
413310020012130
5232030331210
621002012232
73151242563
oct764100634
9303624442
10131105180
1168007298
1237aa7078
132121483b
14135aabda
15b79aea5
hex7d0819c

131105180 has 24 divisors (see below), whose sum is σ = 276712800. Its totient is φ = 52176960.

The previous prime is 131105179. The next prime is 131105189. The reversal of 131105180 is 81501131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131105189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12491 + ... + 20450.

It is an arithmetic number, because the mean of its divisors is an integer number (11529700).

Almost surely, 2131105180 is an apocalyptic number.

131105180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131105180 is an abundant number, since it is smaller than the sum of its proper divisors (145607620).

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

131105180 is a wasteful number, since it uses less digits than its factorization.

131105180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33149 (or 33147 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 131105180 is about 11450.1170299696. The cubic root of 131105180 is about 508.0111959423.

It can be divided in two parts, 1311051 and 80, that added together give a palindrome (1311131).

The spelling of 131105180 in words is "one hundred thirty-one million, one hundred five thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 199 398 796 995 1990 3980 32941 65882 131764 164705 329410 658820 6555259 13110518 26221036 32776295 65552590 131105180