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103120200 = 23325259971
BaseRepresentation
bin1100010010101…
…11110101001000
321012001001022200
412021113311020
5202344321300
614122120200
72361335661
oct611276510
9235031280
10103120200
1153232807
122a650060
1318496a91
14d9a4368
1590be200
hex6257d48

103120200 has 144 divisors (see below), whose sum is σ = 352544400. Its totient is φ = 27004800.

The previous prime is 103120189. The next prime is 103120217. The reversal of 103120200 is 2021301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105715 + ... + 106685.

It is an arithmetic number, because the mean of its divisors is an integer number (2448225).

Almost surely, 2103120200 is an apocalyptic number.

103120200 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 103120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176272200).

103120200 is an abundant number, since it is smaller than the sum of its proper divisors (249424200).

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

103120200 is a wasteful number, since it uses less digits than its factorization.

103120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103120200 is about 10154.8116673821. The cubic root of 103120200 is about 468.9370879860.

Adding to 103120200 its reverse (2021301), we get a palindrome (105141501).

The spelling of 103120200 in words is "one hundred three million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 59 60 72 75 90 100 118 120 150 177 180 200 225 236 295 300 354 360 450 472 531 590 600 708 885 900 971 1062 1180 1416 1475 1770 1800 1942 2124 2360 2655 2913 2950 3540 3884 4248 4425 4855 5310 5826 5900 7080 7768 8739 8850 9710 10620 11652 11800 13275 14565 17478 17700 19420 21240 23304 24275 26550 29130 34956 35400 38840 43695 48550 53100 57289 58260 69912 72825 87390 97100 106200 114578 116520 145650 171867 174780 194200 218475 229156 286445 291300 343734 349560 436950 458312 515601 572890 582600 687468 859335 873900 1031202 1145780 1374936 1432225 1718670 1747800 2062404 2291560 2578005 2864450 3437340 4124808 4296675 5156010 5728900 6874680 8593350 10312020 11457800 12890025 17186700 20624040 25780050 34373400 51560100 103120200