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103102144200 = 233252115207179
BaseRepresentation
bin110000000000101011…
…1011101111011001000
3100212010100212121002100
41200001113131323020
53142123122103300
6115210420433400
710306652523456
oct1400127357310
9325110777070
10103102144200
113a7a8521a40
1217b94848860
139951408723
144dc10559d6
152a36758700
hex18015ddec8

103102144200 has 144 divisors (see below), whose sum is σ = 377728837200. Its totient is φ = 24994454400.

The previous prime is 103102144199. The next prime is 103102144241. The reversal of 103102144200 is 2441201301.

103102144200 is a `hidden beast` number, since 1 + 0 + 31 + 0 + 214 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2583790 + ... + 2623389.

It is an arithmetic number, because the mean of its divisors is an integer number (2623116925).

Almost surely, 2103102144200 is an apocalyptic number.

103102144200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103102144200 is an abundant number, since it is smaller than the sum of its proper divisors (274626693000).

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

103102144200 is a wasteful number, since it uses less digits than its factorization.

103102144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207212 (or 5207200 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 103102144200 its reverse (2441201301), we get a palindrome (105543345501).

The spelling of 103102144200 in words is "one hundred three billion, one hundred two million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 5207179 10414358 15621537 20828716 26035895 31243074 41657432 46864611 52071790 57278969 62486148 78107685 93729222 104143580 114557938 124972296 130179475 156215370 171836907 187458444 208287160 229115876 234323055 260358950 286394845 312430740 343673814 374916888 390538425 458231752 468646110 515510721 520717900 572789690 624861480 687347628 781076850 859184535 937292220 1031021442 1041435800 1145579380 1171615275 1374695256 1431974225 1562153700 1718369070 1874584440 2062042884 2291158760 2343230550 2577553605 2863948450 3124307400 3436738140 4124085768 4295922675 4686461100 5155107210 5727896900 6873476280 8591845350 9372922200 10310214420 11455793800 12887768025 17183690700 20620428840 25775536050 34367381400 51551072100 103102144200