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102003312 = 2432125069
BaseRepresentation
bin1100001010001…
…11001001110000
321002221022020110
412011013021300
5202103101222
614042141320
72346004515
oct605071160
9232838213
10102003312
115263a664
122a1b1840
13181955b8
14d79330c
158e4d30c
hex6147270

102003312 has 20 divisors (see below), whose sum is σ = 263508680. Its totient is φ = 34001088.

The previous prime is 102003289. The next prime is 102003331. The reversal of 102003312 is 213300201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 1062487 + ... + 1062582.

It is an arithmetic number, because the mean of its divisors is an integer number (13175434).

Almost surely, 2102003312 is an apocalyptic number.

102003312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102003312 is an abundant number, since it is smaller than the sum of its proper divisors (161505368).

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

102003312 is a wasteful number, since it uses less digits than its factorization.

102003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125080 (or 2125074 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102003312 is about 10099.6689054642. The cubic root of 102003312 is about 467.2379298895.

Adding to 102003312 its reverse (213300201), we get a palindrome (315303513).

The spelling of 102003312 in words is "one hundred two million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 2125069 4250138 6375207 8500276 12750414 17000552 25500828 34001104 51001656 102003312