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3001002000 = 24353500167
BaseRepresentation
bin1011001011011111…
…1010100000010000
321202010220200211020
42302313322200100
522121224031000
61213441515440
7134240044653
oct26267724020
97663820736
103001002000
1112aaa95247
126b9042b80
1338a975639
142067c789a
151286e0ba0
hexb2dfa810

3001002000 has 80 divisors (see below), whose sum is σ = 9675249792. Its totient is φ = 800265600.

The previous prime is 3001001989. The next prime is 3001002001. The reversal of 3001002000 is 2001003.

It is a tau number, because it is divible by the number of its divisors (80).

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 3001002000.

It is not an unprimeable number, because it can be changed into a prime (3001002001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244084 + ... + 256083.

Almost surely, 23001002000 is an apocalyptic number.

3001002000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001002000 is an abundant number, since it is smaller than the sum of its proper divisors (6674247792).

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

3001002000 is a wasteful number, since it uses less digits than its factorization.

3001002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500193 (or 500177 counting only the distinct ones).

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

The square root of 3001002000 is about 54781.4019535828. The cubic root of 3001002000 is about 1442.4101228860.

Adding to 3001002000 its reverse (2001003), we get a palindrome (3003003003).

The spelling of 3001002000 in words is "three billion, one million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 500167 1000334 1500501 2000668 2500835 3001002 4001336 5001670 6002004 7502505 8002672 10003340 12004008 12504175 15005010 20006680 24008016 25008350 30010020 37512525 40013360 50016700 60020040 62520875 75025050 100033400 120040080 125041750 150050100 187562625 200066800 250083500 300100200 375125250 500167000 600200400 750250500 1000334000 1500501000 3001002000