Search a number
-
+
3030100000200 = 23325271323738459
BaseRepresentation
bin101100000110000000000…
…010001011110111001000
3101201200012212201201022100
4230012000002023313020
5344121121100001300
610240001514553400
7431626463015520
oct54060002136710
911650185651270
103030100000200
11a690705013a9
1240b306438860
1318c977838900
14a692c732680
1553c47022700
hex2c18008bdc8

3030100000200 has 864 divisors, whose sum is σ = 12933922622400. Its totient is φ = 622022768640.

The previous prime is 3030100000189. The next prime is 3030100000229. The reversal of 3030100000200 is 20000010303.

It is a happy number.

It is a super-2 number, since 2×30301000002002 (a number of 26 digits) contains 22 as substring.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 78768571 + ... + 78807029.

It is an arithmetic number, because the mean of its divisors is an integer number (14969817850).

Almost surely, 23030100000200 is an apocalyptic number.

3030100000200 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 3030100000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466961311200).

3030100000200 is an abundant number, since it is smaller than the sum of its proper divisors (9903822622200).

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

3030100000200 is a wasteful number, since it uses less digits than its factorization.

3030100000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38551 (or 38526 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 3030100000200 its reverse (20000010303), we get a palindrome (3050100010503).

The spelling of 3030100000200 in words is "three trillion, thirty billion, one hundred million, two hundred", and thus it is an aban number.