Search a number
-
+
213301003203 = 322332967169
BaseRepresentation
bin1100011010100110111…
…0110000001111000011
3202101120022110122201200
43012221232300033003
511443320024100303
6241553352432243
721260540420001
oct3065156601703
9671508418650
10213301003203
1182507945832
123540a0a8683
1317163b80482
14a476801a71
1558360323a3
hex31a9bb03c3

213301003203 has 48 divisors (see below), whose sum is σ = 333216936000. Its totient is φ = 131325798912.

The previous prime is 213301003183. The next prime is 213301003207. The reversal of 213301003203 is 302300103312.

213301003203 is a `hidden beast` number, since 2 + 1 + 330 + 10 + 0 + 320 + 3 = 666.

213301003203 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213301003203 - 220 = 213299954627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213301003207) 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 47 ways as a sum of consecutive naturals, for example, 3142003 + ... + 3209171.

It is an arithmetic number, because the mean of its divisors is an integer number (6942019500).

Almost surely, 2213301003203 is an apocalyptic number.

213301003203 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

213301003203 is a deficient number, since it is larger than the sum of its proper divisors (119915932797).

213301003203 is an equidigital number, since it uses as much as digits as its factorization.

213301003203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67273 (or 67224 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 213301003203 its reverse (302300103312), we get a palindrome (515601106515).

The spelling of 213301003203 in words is "two hundred thirteen billion, three hundred one million, three thousand, two hundred three".

Divisors: 1 3 9 23 29 69 87 207 261 529 667 1587 2001 4761 6003 12167 15341 36501 46023 67169 109503 138069 201507 352843 604521 1058529 1544887 1947901 3175587 4634661 5843703 13903983 17531109 35532401 44801723 106597203 134405169 319791609 403215507 817245223 1030439629 2451735669 3091318887 7355207007 9273956661 23700111467 71100334401 213301003203