Search a number
-
+
30300303330 = 23251122782397
BaseRepresentation
bin11100001110000010…
…011110111111100010
32220012200100220002200
4130032002132333202
5444023334201310
621530400354030
72121604220523
oct341602367742
986180326080
1030300303330
1111939805400
125a57615916
132b1b66ac8b
14167629a84a
15bc51979c0
hex70e09efe2

30300303330 has 72 divisors (see below), whose sum is σ = 86593790556. Its totient is φ = 7345525440.

The previous prime is 30300303269. The next prime is 30300303343. The reversal of 30300303330 is 3330300303.

30300303330 is a `hidden beast` number, since 3 + 0 + 30 + 0 + 303 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25584322401 + 4715980929 = 159951^2 + 68673^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1380309 + ... + 1402088.

Almost surely, 230300303330 is an apocalyptic number.

30300303330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30300303330 is an abundant number, since it is smaller than the sum of its proper divisors (56293487226).

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

30300303330 is a wasteful number, since it uses less digits than its factorization.

30300303330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782432 (or 2782418 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 18.

Adding to 30300303330 its reverse (3330300303), we get a palindrome (33630603633).

The spelling of 30300303330 in words is "thirty billion, three hundred million, three hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 2782397 5564794 8347191 13911985 16694382 25041573 27823970 30606367 41735955 50083146 61212734 83471910 91819101 125207865 153031835 183638202 250415730 275457303 306063670 336670037 459095505 550914606 673340074 918191010 1010010111 1377286515 1683350185 2020020222 2754573030 3030030333 3366700370 5050050555 6060060666 10100101110 15150151665 30300303330