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10116003 = 3171391427
BaseRepresentation
bin100110100101…
…101110100011
3201000221112210
4212211232203
510042203003
61000453203
7151661502
oct46455643
921027483
1010116003
11578a337
12347a203
132132601
1414b4839
15d4c503
hex9a5ba3

10116003 has 16 divisors (see below), whose sum is σ = 14394240. Its totient is φ = 6297216.

The previous prime is 10115993. The next prime is 10116011. The reversal of 10116003 is 30061101.

10116003 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10116003 - 28 = 10115747 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10116003.

It is not an unprimeable number, because it can be changed into a prime (10116083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6376 + ... + 7802.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 210116003 is an apocalyptic number.

10116003 is a deficient number, since it is larger than the sum of its proper divisors (4278237).

10116003 is a wasteful number, since it uses less digits than its factorization.

10116003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 10116003 is about 3180.5664589818. The cubic root of 10116003 is about 216.2733379426.

Adding to 10116003 its reverse (30061101), we get a palindrome (40177104).

The spelling of 10116003 in words is "ten million, one hundred sixteen thousand, three".

Divisors: 1 3 17 51 139 417 1427 2363 4281 7089 24259 72777 198353 595059 3372001 10116003