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102013303200 = 2535243988501
BaseRepresentation
bin101111100000001110…
…1110111100110100000
3100202022111000202000220
41133000131313212200
53132410401200300
6114510403043040
710240661525064
oct1370035674640
9322274022026
10102013303200
113a299939646
1217930070480
139809964003
144d1a5bdaa4
1529c0d78da0
hex17c07779a0

102013303200 has 144 divisors (see below), whose sum is σ = 339775815456. Its totient is φ = 26570880000.

The previous prime is 102013303169. The next prime is 102013303241. The reversal of 102013303200 is 2303310201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102013303200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391051 + ... + 597450.

It is an arithmetic number, because the mean of its divisors is an integer number (2359554274).

Almost surely, 2102013303200 is an apocalyptic number.

102013303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013303200 is an abundant number, since it is smaller than the sum of its proper divisors (237762512256).

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

102013303200 is a wasteful number, since it uses less digits than its factorization.

102013303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988567 (or 988554 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102013303200 its reverse (2303310201), we get a palindrome (104316613401).

The spelling of 102013303200 in words is "one hundred two billion, thirteen million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 43 48 50 60 75 80 86 96 100 120 129 150 160 172 200 215 240 258 300 344 400 430 480 516 600 645 688 800 860 1032 1075 1200 1290 1376 1720 2064 2150 2400 2580 3225 3440 4128 4300 5160 6450 6880 8600 10320 12900 17200 20640 25800 34400 51600 103200 988501 1977002 2965503 3954004 4942505 5931006 7908008 9885010 11862012 14827515 15816016 19770020 23724024 24712525 29655030 31632032 39540040 42505543 47448048 49425050 59310060 74137575 79080080 85011086 94896096 98850100 118620120 127516629 148275150 158160160 170022172 197700200 212527715 237240240 255033258 296550300 340044344 395400400 425055430 474480480 510066516 593100600 637583145 680088688 790800800 850110860 1020133032 1062638575 1186201200 1275166290 1360177376 1700221720 2040266064 2125277150 2372402400 2550332580 3187915725 3400443440 4080532128 4250554300 5100665160 6375831450 6800886880 8501108600 10201330320 12751662900 17002217200 20402660640 25503325800 34004434400 51006651600 102013303200