Search a number
-
+
2003230021 = 131963112853
BaseRepresentation
bin111011101100110…
…1101110101000101
312011121102121222111
41313121231311011
513100311330041
6530440101021
7100433113522
oct16731556505
95147377874
102003230021
11938853401
1247aa64771
1325c038610
1415009a149
15bacee981
hex7766dd45

2003230021 has 16 divisors (see below), whose sum is σ = 2274643840. Its totient is φ = 1748900160.

The previous prime is 2003230007. The next prime is 2003230027. The reversal of 2003230021 is 1200323002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2003230021 - 29 = 2003229509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2003229983 and 2003230010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003230027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149431 + ... + 162283.

It is an arithmetic number, because the mean of its divisors is an integer number (142165240).

Almost surely, 22003230021 is an apocalyptic number.

It is an amenable number.

2003230021 is a deficient number, since it is larger than the sum of its proper divisors (271413819).

2003230021 is a wasteful number, since it uses less digits than its factorization.

2003230021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13516.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2003230021 is about 44757.4577137710. The cubic root of 2003230021 is about 1260.5989469970.

Adding to 2003230021 its reverse (1200323002), we get a palindrome (3203553023).

The spelling of 2003230021 in words is "two billion, three million, two hundred thirty thousand, twenty-one".

Divisors: 1 13 19 247 631 8203 11989 12853 155857 167089 244207 3174691 8110243 105433159 154094617 2003230021