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3000021000 = 233532934483
BaseRepresentation
bin1011001011010000…
…1011000000001000
321202002001212010220
42302310023000020
522121001133000
61213404510040
7134225520624
oct26264130010
97662055126
103000021000
1112aa4851a9
126b884b320
1338a6c0c72
14206610184
1512859a1a0
hexb2d0b008

3000021000 has 128 divisors (see below), whose sum is σ = 9683107200. Its totient is φ = 772396800.

The previous prime is 3000020993. The next prime is 3000021041. The reversal of 3000021000 is 1200003.

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.

3000021000 is a modest number, since divided by 21000 gives 3000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 3000021000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69759 + ... + 104241.

It is an arithmetic number, because the mean of its divisors is an integer number (75649275).

Almost surely, 23000021000 is an apocalyptic number.

3000021000 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 3000021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841553600).

3000021000 is an abundant number, since it is smaller than the sum of its proper divisors (6683086200).

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

3000021000 is a wasteful number, since it uses less digits than its factorization.

3000021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34536 (or 34522 counting only the distinct ones).

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

The square root of 3000021000 is about 54772.4474530763. The cubic root of 3000021000 is about 1442.2529355486.

Adding to 3000021000 its reverse (1200003), we get a palindrome (3001221003).

The spelling of 3000021000 in words is "three billion, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 17400 21750 29000 34483 43500 68966 87000 103449 137932 172415 206898 275864 344830 413796 517245 689660 827592 862075 1000007 1034490 1379320 1724150 2000014 2068980 2586225 3000021 3448300 4000028 4137960 4310375 5000035 5172450 6000042 6896600 8000056 8620750 10000070 10344900 12000084 12931125 15000105 17241500 20000140 20689800 24000168 25000175 25862250 30000210 34483000 40000280 50000350 51724500 60000420 75000525 100000700 103449000 120000840 125000875 150001050 200001400 250001750 300002100 375002625 500003500 600004200 750005250 1000007000 1500010500 3000021000