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180131112 = 233272411483
BaseRepresentation
bin10101011110010…
…01010100101000
3110112221121102200
422233021110220
5332103143422
625512500200
74315042410
oct1257112450
9415847380
10180131112
1192752197
12503aa660
132b41b775
1419ccd640
1510c322ac
hexabc9528

180131112 has 96 divisors (see below), whose sum is σ = 560239680. Its totient is φ = 51217920.

The previous prime is 180131089. The next prime is 180131113. The reversal of 180131112 is 211131081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (180131113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 120723 + ... + 122205.

It is an arithmetic number, because the mean of its divisors is an integer number (5835830).

Almost surely, 2180131112 is an apocalyptic number.

180131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280119840).

180131112 is an abundant number, since it is smaller than the sum of its proper divisors (380108568).

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

180131112 is a wasteful number, since it uses less digits than its factorization.

180131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 180131112 is about 13421.2932312799. The cubic root of 180131112 is about 564.7586741853.

Adding to 180131112 its reverse (211131081), we get a palindrome (391262193).

The spelling of 180131112 in words is "one hundred eighty million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 241 252 482 504 723 964 1446 1483 1687 1928 2169 2892 2966 3374 4338 4449 5061 5784 5932 6748 8676 8898 10122 10381 11864 13347 13496 15183 17352 17796 20244 20762 26694 30366 31143 35592 40488 41524 53388 60732 62286 83048 93429 106776 121464 124572 186858 249144 357403 373716 714806 747432 1072209 1429612 2144418 2501821 2859224 3216627 4288836 5003642 6433254 7505463 8577672 10007284 12866508 15010926 20014568 22516389 25733016 30021852 45032778 60043704 90065556 180131112