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3000201000 = 233538312049
BaseRepresentation
bin1011001011010011…
…0110111100101000
321202002102000001120
42302310312330220
522121022413000
61213412415240
7134230200456
oct26264667450
97662360046
103000201000
1112aa598465
126b8917520
1338a754b84
142066599d6
151285d36a0
hexb2d36f28

3000201000 has 128 divisors (see below), whose sum is σ = 9474192000. Its totient is φ = 790348800.

The previous prime is 3000200977. The next prime is 3000201007. The reversal of 3000201000 is 1020003.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3000201000.

It is not an unprimeable number, because it can be changed into a prime (3000201007) 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 31 ways as a sum of consecutive naturals, for example, 242976 + ... + 255024.

It is an arithmetic number, because the mean of its divisors is an integer number (74017125).

Almost surely, 23000201000 is an apocalyptic number.

3000201000 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 3000201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737096000).

3000201000 is an abundant number, since it is smaller than the sum of its proper divisors (6473991000).

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

3000201000 is a wasteful number, since it uses less digits than its factorization.

3000201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12156 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 3000201000 is about 54774.0905903512. The cubic root of 3000201000 is about 1442.2817798285.

Adding to 3000201000 its reverse (1020003), we get a palindrome (3001221003).

The spelling of 3000201000 in words is "three billion, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 125 150 166 200 249 250 300 332 375 415 498 500 600 664 750 830 996 1000 1245 1500 1660 1992 2075 2490 3000 3320 4150 4980 6225 8300 9960 10375 12049 12450 16600 20750 24098 24900 31125 36147 41500 48196 49800 60245 62250 72294 83000 96392 120490 124500 144588 180735 240980 249000 289176 301225 361470 481960 602450 722940 903675 1000067 1204900 1445880 1506125 1807350 2000134 2409800 3000201 3012250 3614700 4000268 4518375 5000335 6000402 6024500 7229400 8000536 9036750 10000670 12000804 12049000 15001005 18073500 20001340 24001608 25001675 30002010 36147000 40002680 50003350 60004020 75005025 100006700 120008040 125008375 150010050 200013400 250016750 300020100 375025125 500033500 600040200 750050250 1000067000 1500100500 3000201000