Search a number
-
+
3030003030 = 23510129901
BaseRepresentation
bin1011010010011010…
…0010110101010110
321211011111002202110
42310212202311112
522201140044110
61220355251450
7135041413035
oct26446426526
97734432673
103030003030
1113153a313a
127068a9b86
1339398aa02
1420a5b671c
1512b01da20
hexb49a2d56

3030003030 has 48 divisors (see below), whose sum is σ = 7345462032. Its totient is φ = 799920000.

The previous prime is 3030002981. The next prime is 3030003061. The reversal of 3030003030 is 303000303.

3030003030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3030002997 and 3030003015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301080 + ... + 310980.

It is an arithmetic number, because the mean of its divisors is an integer number (153030459).

Almost surely, 23030003030 is an apocalyptic number.

3030003030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3030003030 is an abundant number, since it is smaller than the sum of its proper divisors (4315459002).

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

3030003030 is a wasteful number, since it uses less digits than its factorization.

3030003030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10113 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 12.

The square root of 3030003030 is about 55045.4633008025. The cubic root of 3030003030 is about 1447.0416146653.

Adding to 3030003030 its reverse (303000303), we get a palindrome (3333003333).

It can be divided in two parts, 303000 and 3030, that multiplied together give a square (918090000 = 303002).

The spelling of 3030003030 in words is "three billion, thirty million, three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 101 202 303 505 606 1010 1515 3030 9901 10201 19802 20402 29703 30603 49505 51005 59406 61206 99010 102010 148515 153015 297030 306030 1000001 2000002 3000003 5000005 6000006 10000010 15000015 30000030 101000101 202000202 303000303 505000505 606000606 1010001010 1515001515 3030003030