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3001130220 = 22351113733191
BaseRepresentation
bin1011001011100001…
…1001110011101100
321202011011012201010
42302320121303230
522121242131340
61213444345220
7134241120534
oct26270316354
97664135633
103001130220
111300072610
126b90a5210
1338a9bbaca
1420681c4c4
15128718b80
hexb2e19cec

3001130220 has 96 divisors (see below), whose sum is σ = 9234279936. Its totient is φ = 722214400.

The previous prime is 3001130213. The next prime is 3001130233. The reversal of 3001130220 is 220311003.

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 = 3001130196 and 3001130205.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73825 + ... + 107015.

It is an arithmetic number, because the mean of its divisors is an integer number (96190416).

Almost surely, 23001130220 is an apocalyptic number.

3001130220 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 3001130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617139968).

3001130220 is an abundant number, since it is smaller than the sum of its proper divisors (6233149716).

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

3001130220 is a wasteful number, since it uses less digits than its factorization.

3001130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33351 (or 33349 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3001130220 is about 54782.5722287663. The cubic root of 3001130220 is about 1442.4306652684.

Adding to 3001130220 its reverse (220311003), we get a palindrome (3221441223).

The spelling of 3001130220 in words is "three billion, one million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 137 165 220 274 330 411 548 660 685 822 1370 1507 1644 2055 2740 3014 4110 4521 6028 7535 8220 9042 15070 18084 22605 30140 33191 45210 66382 90420 99573 132764 165955 199146 331910 365101 398292 497865 663820 730202 995730 1095303 1460404 1825505 1991460 2190606 3651010 4381212 4547167 5476515 7302020 9094334 10953030 13641501 18188668 21906060 22735835 27283002 45471670 50018837 54566004 68207505 90943340 100037674 136415010 150056511 200075348 250094185 272830020 300113022 500188370 600226044 750282555 1000376740 1500565110 3001130220