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102003140 = 2255100157
BaseRepresentation
bin1100001010001…
…11000111000100
321002221022000002
412011013013010
5202103100030
614042140432
72346004151
oct605070704
9232838002
10102003140
115263a518
122a1b1718
13181954b5
14d793228
158e4d245
hex61471c4

102003140 has 12 divisors (see below), whose sum is σ = 214206636. Its totient is φ = 40801248.

The previous prime is 102003127. The next prime is 102003149. The reversal of 102003140 is 41300201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 57032704 + 44970436 = 7552^2 + 6706^2 .

It is not an unprimeable number, because it can be changed into a prime (102003149) 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 3 ways as a sum of consecutive naturals, for example, 2550059 + ... + 2550098.

It is an arithmetic number, because the mean of its divisors is an integer number (17850553).

Almost surely, 2102003140 is an apocalyptic number.

102003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102003140 is an abundant number, since it is smaller than the sum of its proper divisors (112203496).

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

102003140 is a wasteful number, since it uses less digits than its factorization.

102003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100166 (or 5100164 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102003140 is about 10099.6603903300. The cubic root of 102003140 is about 467.2376672674.

Adding to 102003140 its reverse (41300201), we get a palindrome (143303341).

The spelling of 102003140 in words is "one hundred two million, three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 5100157 10200314 20400628 25500785 51001570 102003140