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103043300200 = 23521756353831
BaseRepresentation
bin101111111110111011…
…0111111101101101000
3100211222021011000021221
41133331312333231220
53142013041101300
6115200515311424
710305336412561
oct1377566775550
9324867130257
10103043300200
113a778290635
1217b78bab574
1399421749a9
144db72d9168
152a314d331a
hex17fddbfb68

103043300200 has 96 divisors (see below), whose sum is σ = 254123645760. Its totient is φ = 38723148800.

The previous prime is 103043300119. The next prime is 103043300209. The reversal of 103043300200 is 2003340301.

103043300200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030433002002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103043300209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1887285 + ... + 1941115.

It is an arithmetic number, because the mean of its divisors is an integer number (2647121310).

Almost surely, 2103043300200 is an apocalyptic number.

103043300200 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 103043300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127061822880).

103043300200 is an abundant number, since it is smaller than the sum of its proper divisors (151080345560).

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

103043300200 is a wasteful number, since it uses less digits than its factorization.

103043300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54427 (or 54418 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 103043300200 its reverse (2003340301), we get a palindrome (105046640501).

The spelling of 103043300200 in words is "one hundred three billion, forty-three million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 563 680 850 1126 1700 2252 2815 3400 4504 5630 9571 11260 14075 19142 22520 28150 38284 47855 53831 56300 76568 95710 107662 112600 191420 215324 239275 269155 382840 430648 478550 538310 915127 957100 1076620 1345775 1830254 1914200 2153240 2691550 3660508 4575635 5383100 7321016 9151270 10766200 18302540 22878175 30306853 36605080 45756350 60613706 91512700 121227412 151534265 183025400 242454824 303068530 515216501 606137060 757671325 1030433002 1212274120 1515342650 2060866004 2576082505 3030685300 4121732008 5152165010 6061370600 10304330020 12880412525 20608660040 25760825050 51521650100 103043300200