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203413244100 = 2235211206329879
BaseRepresentation
bin1011110101110001011…
…1111100100011000100
3201110001012220110011120
42331130113330203010
511313042242302400
6233240255433540
720460525021663
oct2753427744304
9643035813146
10203413244100
11792a3522aa0
123350a8258b0
1316249501341
149bb9538dda
155457e45ca0
hex2f5c5fc8c4

203413244100 has 144 divisors (see below), whose sum is σ = 642378885120. Its totient is φ = 49286748800.

The previous prime is 203413244087. The next prime is 203413244101. The reversal of 203413244100 is 1442314302.

It is not an unprimeable number, because it can be changed into a prime (203413244101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6792961 + ... + 6822839.

It is an arithmetic number, because the mean of its divisors is an integer number (4460964480).

Almost surely, 2203413244100 is an apocalyptic number.

203413244100 is a gapful number since it is divisible by the number (20) 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 203413244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321189442560).

203413244100 is an abundant number, since it is smaller than the sum of its proper divisors (438965641020).

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

203413244100 is a wasteful number, since it uses less digits than its factorization.

203413244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31970 (or 31963 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 203413244100 its reverse (1442314302), we get a palindrome (204855558402).

The spelling of 203413244100 in words is "two hundred three billion, four hundred thirteen million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2063 3300 4126 6189 8252 10315 12378 20630 22693 24756 29879 30945 41260 45386 51575 59758 61890 68079 89637 90772 103150 113465 119516 123780 136158 149395 154725 179274 206300 226930 272316 298790 309450 328669 340395 358548 448185 453860 567325 597580 618900 657338 680790 746975 896370 986007 1134650 1314676 1361580 1493950 1643345 1701975 1792740 1972014 2240925 2269300 2987900 3286690 3403950 3944028 4481850 4930035 6573380 6807900 8216725 8963700 9860070 16433450 19720140 24650175 32866900 49300350 61640377 98600700 123280754 184921131 246561508 308201885 369842262 616403770 678044147 739684524 924605655 1232807540 1356088294 1541009425 1849211310 2034132441 2712176588 3082018850 3390220735 3698422620 4068264882 4623028275 6164037700 6780441470 8136529764 9246056550 10170662205 13560882940 16951103675 18492113100 20341324410 33902207350 40682648820 50853311025 67804414700 101706622050 203413244100