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103321100000 = 25551099479
BaseRepresentation
bin110000000111001101…
…0101101111011100000
3100212200121212200222102
41200032122231323200
53143100200200000
6115244241425532
710315251600536
oct1401632557340
9325617780872
10103321100000
113a900081748
121803603b2a8
13998789ba81
145002170156
152a4aaa93d5
hex180e6adee0

103321100000 has 144 divisors (see below), whose sum is σ = 256610138400. Its totient is φ = 40944960000.

The previous prime is 103321099943. The next prime is 103321100023. The reversal of 103321100000 is 1123301.

It is a congruent number.

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, 10895261 + ... + 10904739.

It is an arithmetic number, because the mean of its divisors is an integer number (1782014850).

Almost surely, 2103321100000 is an apocalyptic number.

103321100000 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 103321100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128305069200).

103321100000 is an abundant number, since it is smaller than the sum of its proper divisors (153289038400).

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

103321100000 is an frugal number, since it uses more digits than its factorization.

103321100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9623 (or 9595 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 103321100000 its reverse (1123301), we get a palindrome (103322223301).

The spelling of 103321100000 in words is "one hundred three billion, three hundred twenty-one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 109 125 160 200 218 250 400 436 500 545 625 800 872 1000 1090 1250 1744 2000 2180 2500 2725 3125 3488 4000 4360 5000 5450 6250 8720 9479 10000 10900 12500 13625 17440 18958 20000 21800 25000 27250 37916 43600 47395 50000 54500 68125 75832 87200 94790 100000 109000 136250 151664 189580 218000 236975 272500 303328 340625 379160 436000 473950 545000 681250 758320 947900 1033211 1090000 1184875 1362500 1516640 1895800 2066422 2180000 2369750 2725000 3791600 4132844 4739500 5166055 5450000 5924375 7583200 8265688 9479000 10332110 10900000 11848750 16531376 18958000 20664220 23697500 25830275 29621875 33062752 37916000 41328440 47395000 51660550 59243750 82656880 94790000 103321100 118487500 129151375 165313760 189580000 206642200 236975000 258302750 413284400 473950000 516605500 645756875 826568800 947900000 1033211000 1291513750 2066422000 2583027500 3228784375 4132844000 5166055000 6457568750 10332110000 12915137500 20664220000 25830275000 51660550000 103321100000