Search a number
-
+
3030100000 = 2555157193
BaseRepresentation
bin1011010010011011…
…1010100000100000
321211011200000202221
42310212322200200
522201201200000
61220401320424
7135042265534
oct26446724040
97734600687
103030100000
111315459a84
12706936114
133939c2ba5
1420a5ddbc4
1512b03c61a
hexb49ba820

3030100000 has 144 divisors (see below), whose sum is σ = 7542782856. Its totient is φ = 1198080000.

The previous prime is 3030099983. The next prime is 3030100019. The reversal of 3030100000 is 10303.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2116368016 + 913731984 = 46004^2 + 30228^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15699904 + ... + 15700096.

Almost surely, 23030100000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3030100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771391428).

3030100000 is an abundant number, since it is smaller than the sum of its proper divisors (4512682856).

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

3030100000 is an equidigital number, since it uses as much as digits as its factorization.

3030100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 3030100000 is about 55046.3441111215. The cubic root of 3030100000 is about 1447.0570511877.

Adding to 3030100000 its reverse (10303), we get a palindrome (3030110303).

The spelling of 3030100000 in words is "three billion, thirty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 157 160 193 200 250 314 386 400 500 625 628 772 785 800 965 1000 1250 1256 1544 1570 1930 2000 2500 2512 3088 3125 3140 3860 3925 4000 4825 5000 5024 6176 6250 6280 7720 7850 9650 10000 12500 12560 15440 15700 19300 19625 20000 24125 25000 25120 30301 30880 31400 38600 39250 48250 50000 60602 62800 77200 78500 96500 98125 100000 120625 121204 125600 151505 154400 157000 193000 196250 241250 242408 303010 314000 386000 392500 482500 484816 490625 603125 606020 628000 757525 772000 785000 965000 969632 981250 1206250 1212040 1515050 1570000 1930000 1962500 2412500 2424080 3030100 3140000 3787625 3860000 3925000 4825000 4848160 6060200 7575250 7850000 9650000 12120400 15150500 15700000 18938125 19300000 24240800 30301000 37876250 60602000 75752500 94690625 121204000 151505000 189381250 303010000 378762500 606020000 757525000 1515050000 3030100000