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103131120200 = 235210146311027
BaseRepresentation
bin110000000001100011…
…0000000001001001000
3100212012101101201200112
41200003012000021020
53142203031321300
6115213333453452
710310454025553
oct1400306001110
9325171351615
10103131120200
113a812913049
1217ba24a1288
1399574125a4
144dc4c3969a
152a3907de35
hex1803180248

103131120200 has 96 divisors (see below), whose sum is σ = 242698930560. Its totient is φ = 40752096000.

The previous prime is 103131120187. The next prime is 103131120289. The reversal of 103131120200 is 2021131301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9347087 + ... + 9358113.

It is an arithmetic number, because the mean of its divisors is an integer number (2528113860).

Almost surely, 2103131120200 is an apocalyptic number.

103131120200 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 103131120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121349465280).

103131120200 is an abundant number, since it is smaller than the sum of its proper divisors (139567810360).

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

103131120200 is a wasteful number, since it uses less digits than its factorization.

103131120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11607 (or 11598 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 103131120200 its reverse (2021131301), we get a palindrome (105152251501).

The spelling of 103131120200 in words is "one hundred three billion, one hundred thirty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 463 505 808 926 1010 1852 2020 2315 2525 3704 4040 4630 5050 9260 10100 11027 11575 18520 20200 22054 23150 44108 46300 46763 55135 88216 92600 93526 110270 187052 220540 233815 275675 374104 441080 467630 551350 935260 1102700 1113727 1169075 1870520 2205400 2227454 2338150 4454908 4676300 5105501 5568635 8909816 9352600 10211002 11137270 20422004 22274540 25527505 27843175 40844008 44549080 51055010 55686350 102110020 111372700 127637525 204220040 222745400 255275050 510550100 515655601 1021100200 1031311202 2062622404 2578278005 4125244808 5156556010 10313112020 12891390025 20626224040 25782780050 51565560100 103131120200