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102003120 = 24325141671
BaseRepresentation
bin1100001010001…
…11000110110000
321002221021222100
412011013012300
5202103044440
614042140400
72346004122
oct605070660
9232837870
10102003120
115263a4aa
122a1b1700
131819549b
14d793212
158e4d230
hex61471b0

102003120 has 60 divisors (see below), whose sum is σ = 342562896. Its totient is φ = 27200640.

The previous prime is 102003071. The next prime is 102003127. The reversal of 102003120 is 21300201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (102003127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70116 + ... + 71555.

Almost surely, 2102003120 is an apocalyptic number.

102003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102003120 is an abundant number, since it is smaller than the sum of its proper divisors (240559776).

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

102003120 is a wasteful number, since it uses less digits than its factorization.

102003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141690 (or 141681 counting only the distinct ones).

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

The square root of 102003120 is about 10099.6594001976. The cubic root of 102003120 is about 467.2376367300.

Adding to 102003120 its reverse (21300201), we get a palindrome (123303321).

The spelling of 102003120 in words is "one hundred two million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 141671 283342 425013 566684 708355 850026 1133368 1275039 1416710 1700052 2125065 2266736 2550078 2833420 3400104 4250130 5100156 5666840 6375195 6800208 8500260 10200312 11333680 12750390 17000520 20400624 25500780 34001040 51001560 102003120