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102012103200 = 2535276072149
BaseRepresentation
bin101111100000001100…
…1010010101000100000
3100202022101202202221110
41133000121102220200
53132410044300300
6114510321223320
710240645366410
oct1370031225040
9322271682843
10102012103200
113a29919a007
121792b791b40
139809633a57
144d1a38a640
1529c0bdd550
hex17c0652a20

102012103200 has 144 divisors (see below), whose sum is σ = 379485086400. Its totient is φ = 23317048320.

The previous prime is 102012103187. The next prime is 102012103213. The reversal of 102012103200 is 2301210201.

It is an interprime number because it is at equal distance from previous prime (102012103187) and next prime (102012103213).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3019275 + ... + 3052874.

It is an arithmetic number, because the mean of its divisors is an integer number (2635313100).

Almost surely, 2102012103200 is an apocalyptic number.

102012103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012103200 is an abundant number, since it is smaller than the sum of its proper divisors (277472983200).

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

102012103200 is a wasteful number, since it uses less digits than its factorization.

102012103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6072179 (or 6072166 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102012103200 its reverse (2301210201), we get a palindrome (104313313401).

The spelling of 102012103200 in words is "one hundred two billion, twelve million, one hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 6072149 12144298 18216447 24288596 30360745 36432894 42505043 48577192 60721490 72865788 85010086 91082235 97154384 121442980 127515129 145731576 151803725 170020172 182164470 194308768 212525215 242885960 255030258 291463152 303607450 340040344 364328940 425050430 455411175 485771920 510060516 582926304 607214900 637575645 680080688 728657880 850100860 910822350 971543840 1020121032 1062626075 1214429800 1275151290 1360161376 1457315760 1700201720 1821644700 2040242064 2125252150 2428859600 2550302580 2914631520 3187878225 3400403440 3643289400 4080484128 4250504300 4857719200 5100605160 6375756450 6800806880 7286578800 8501008600 10201210320 12751512900 14573157600 17002017200 20402420640 25503025800 34004034400 51006051600 102012103200