Search a number
-
+
30000030030 = 23252609127763
BaseRepresentation
bin11011111100001001…
…000010000101001110
32212102202100102120100
4123330021002011032
5442420001430110
621440512431530
72111300022255
oct337411020516
985382312510
1030000030030
11117a5264653
125992b485a6
132aa13a5979
14164845579c
15ba8b32bc0
hex6fc24214e

30000030030 has 48 divisors (see below), whose sum is σ = 78030585360. Its totient is φ = 7996879104.

The previous prime is 30000030029. The next prime is 30000030037. The reversal of 30000030030 is 3003000003.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

30000030030 is a modest number, since divided by 30030 gives 30000 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30000029994 and 30000030021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30000030037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170929 + ... + 298691.

It is an arithmetic number, because the mean of its divisors is an integer number (1625637195).

Almost surely, 230000030030 is an apocalyptic number.

30000030030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30000030030 is an abundant number, since it is smaller than the sum of its proper divisors (48030555330).

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

30000030030 is a wasteful number, since it uses less digits than its factorization.

30000030030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130385 (or 130382 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 9.

Adding to 30000030030 its reverse (3003000003), we get a palindrome (33003030033).

The spelling of 30000030030 in words is "thirty billion, thirty thousand, thirty", and thus it is an eban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2609 5218 7827 13045 15654 23481 26090 39135 46962 78270 117405 127763 234810 255526 383289 638815 766578 1149867 1277630 1916445 2299734 3832890 5749335 11498670 333333667 666667334 1000001001 1666668335 2000002002 3000003003 3333336670 5000005005 6000006006 10000010010 15000015015 30000030030