Search a number
-
+
3030103020 = 22357611011171
BaseRepresentation
bin1011010010011011…
…1011001111101100
321211011200011220210
42310212323033230
522201201244040
61220401342420
7135042310410
oct26446731754
97734604823
103030103020
11131546127a
12706937a10
133939c4389
1420a600d40
1512b03d480
hexb49bb3ec

3030103020 has 192 divisors, whose sum is σ = 9961362432. Its totient is φ = 673920000.

The previous prime is 3030102979. The next prime is 3030103051. The reversal of 3030103020 is 203010303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3030102987 and 3030103005.

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 63 ways as a sum of consecutive naturals, for example, 2587035 + ... + 2588205.

It is an arithmetic number, because the mean of its divisors is an integer number (51882096).

Almost surely, 23030103020 is an apocalyptic number.

3030103020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3030103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980681216).

3030103020 is an abundant number, since it is smaller than the sum of its proper divisors (6931259412).

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

3030103020 is a wasteful number, since it uses less digits than its factorization.

3030103020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3030103020 is about 55046.3715425458. The cubic root of 3030103020 is about 1447.0575319321.

Adding to 3030103020 its reverse (203010303), we get a palindrome (3233113323).

The spelling of 3030103020 in words is "three billion, thirty million, one hundred three thousand, twenty".