Search a number
-
+
102003 = 3112281
BaseRepresentation
bin11000111001110011
312011220220
4120321303
511231003
62104123
7603246
oct307163
9164826
10102003
116a700
124b043
1337575
142925d
1520353
hex18e73

102003 has 12 divisors (see below), whose sum is σ = 150024. Its totient is φ = 61600.

The previous prime is 102001. The next prime is 102013. The reversal of 102003 is 300201.

It is not a de Polignac number, because 102003 - 21 = 102001 is a prime.

It is a super-2 number, since 2×1020032 = 20809224018, which contains 22 as substring.

102003 is a lucky number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 101982 and 102000.

It is not an unprimeable number, because it can be changed into a prime (102001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (12502).

2102003 is an apocalyptic number.

102003 is a deficient number, since it is larger than the sum of its proper divisors (48021).

102003 is a wasteful number, since it uses less digits than its factorization.

102003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 102003 is about 319.3790851011. The cubic root of 102003 is about 46.7237453505.

Adding to 102003 its reverse (300201), we get a palindrome (402204).

The spelling of 102003 in words is "one hundred two thousand, three", and thus it is an iban number.

Divisors: 1 3 11 33 121 281 363 843 3091 9273 34001 102003