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3002011300 = 2252176128949
BaseRepresentation
bin1011001011101111…
…0000111010100100
321202012210222022201
42302323300322210
522122003330200
61213515304244
7134251450351
oct26273607244
97665728281
103002011300
111300614582
126b944b084
1338ac39b62
142069ab628
1512883ec6a
hexb2ef0ea4

3002011300 has 72 divisors (see below), whose sum is σ = 7010879400. Its totient is φ = 1111603200.

The previous prime is 3002011289. The next prime is 3002011301. The reversal of 3002011300 is 31102003.

It can be written as a sum of positive squares in 12 ways, for example, as 328914496 + 2673096804 = 18136^2 + 51702^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3002011301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89226 + ... + 118174.

It is an arithmetic number, because the mean of its divisors is an integer number (97373325).

Almost surely, 23002011300 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 3002011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505439700).

3002011300 is an abundant number, since it is smaller than the sum of its proper divisors (4008868100).

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

3002011300 is a wasteful number, since it uses less digits than its factorization.

3002011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29041 (or 29034 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3002011300 is about 54790.6132471612. The cubic root of 3002011300 is about 1442.5718090339.

Adding to 3002011300 its reverse (31102003), we get a palindrome (3033113303).

The spelling of 3002011300 in words is "three billion, two million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 61 68 85 100 122 170 244 305 340 425 610 850 1037 1220 1525 1700 2074 3050 4148 5185 6100 10370 20740 25925 28949 51850 57898 103700 115796 144745 289490 492133 578980 723725 984266 1447450 1765889 1968532 2460665 2894900 3531778 4921330 7063556 8829445 9842660 12303325 17658890 24606650 30020113 35317780 44147225 49213300 60040226 88294450 120080452 150100565 176588900 300201130 600402260 750502825 1501005650 3002011300