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3011300000 = 255530113
BaseRepresentation
bin1011001101111100…
…1100101010100000
321202212021220000122
42303133030222200
522131343100000
61214450335412
7134423425202
oct26337145240
97685256018
103011300000
111305889295
1270058a568
1338cb3ca27
14207d08772
15129577085
hexb37ccaa0

3011300000 has 72 divisors (see below), whose sum is σ = 7410392892. Its totient is φ = 1204480000.

The previous prime is 3011299969. The next prime is 3011300003. The reversal of 3011300000 is 31103.

3011300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 27081616 + 2984218384 = 5204^2 + 54628^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (3011300003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84944 + ... + 115056.

Almost surely, 23011300000 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 3011300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705196446).

3011300000 is an abundant number, since it is smaller than the sum of its proper divisors (4399092892).

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

3011300000 is an frugal number, since it uses more digits than its factorization.

3011300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30148 (or 30120 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 3011300000 is about 54875.3132109512. The cubic root of 3011300000 is about 1444.0581259230.

Adding to 3011300000 its reverse (31103), we get a palindrome (3011331103).

The spelling of 3011300000 in words is "three billion, eleven million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 30113 50000 60226 100000 120452 150565 240904 301130 481808 602260 752825 963616 1204520 1505650 2409040 3011300 3764125 4818080 6022600 7528250 12045200 15056500 18820625 24090400 30113000 37641250 60226000 75282500 94103125 120452000 150565000 188206250 301130000 376412500 602260000 752825000 1505650000 3011300000