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131444100 = 22335289547
BaseRepresentation
bin1111101010110…
…10110110000100
3100011100001102000
413311122312010
5232122202400
621013145300
73154153644
oct765326604
9304301360
10131444100
1168218997
123802b230
1321302b98
1413658524
15b816600
hex7d5ad84

131444100 has 144 divisors (see below), whose sum is σ = 428097600. Its totient is φ = 34594560.

The previous prime is 131444087. The next prime is 131444129. The reversal of 131444100 is 1444131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240027 + ... + 240573.

It is an arithmetic number, because the mean of its divisors is an integer number (2972900).

Almost surely, 2131444100 is an apocalyptic number.

131444100 is a gapful number since it is divisible by the number (10) 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 131444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214048800).

131444100 is an abundant number, since it is smaller than the sum of its proper divisors (296653500).

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

131444100 is a wasteful number, since it uses less digits than its factorization.

131444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131444100 is about 11464.9073262718. The cubic root of 131444100 is about 508.4485725176.

Adding to 131444100 its reverse (1444131), we get a palindrome (132888231).

The spelling of 131444100 in words is "one hundred thirty-one million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 89 90 100 108 135 150 178 180 225 267 270 300 356 445 450 534 540 547 675 801 890 900 1068 1094 1335 1350 1602 1641 1780 2188 2225 2403 2670 2700 2735 3204 3282 4005 4450 4806 4923 5340 5470 6564 6675 8010 8205 8900 9612 9846 10940 12015 13350 13675 14769 16020 16410 19692 20025 24030 24615 26700 27350 29538 32820 40050 41025 48060 48683 49230 54700 59076 60075 73845 80100 82050 97366 98460 120150 123075 146049 147690 164100 194732 240300 243415 246150 292098 295380 369225 438147 486830 492300 584196 730245 738450 876294 973660 1217075 1314441 1460490 1476900 1752588 2190735 2434150 2628882 2920980 3651225 4381470 4868300 5257764 6572205 7302450 8762940 10953675 13144410 14604900 21907350 26288820 32861025 43814700 65722050 131444100