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3001320100 = 225230013201
BaseRepresentation
bin1011001011100100…
…1000001010100100
321202011111212011201
42302321020022210
522121314220400
61213452412244
7134242541242
oct26271101244
97664455151
103001320100
111300192239
126b9177084
1338aa5736c
1420686b792
1512875506a
hexb2e482a4

3001320100 has 18 divisors (see below), whose sum is σ = 6512864834. Its totient is φ = 1200528000.

The previous prime is 3001320061. The next prime is 3001320137. The reversal of 3001320100 is 10231003.

It can be written as a sum of positive squares in 3 ways, for example, as 850772224 + 2150547876 = 29168^2 + 46374^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15006501 + ... + 15006700.

Almost surely, 23001320100 is an apocalyptic number.

It is an amenable number.

3001320100 is an abundant number, since it is smaller than the sum of its proper divisors (3511544734).

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

3001320100 is a wasteful number, since it uses less digits than its factorization.

3001320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30013215 (or 30013208 counting only the distinct ones).

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

The square root of 3001320100 is about 54784.3052342548. The cubic root of 3001320100 is about 1442.4610852479.

Adding to 3001320100 its reverse (10231003), we get a palindrome (3011551103).

The spelling of 3001320100 in words is "three billion, one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 30013201 60026402 120052804 150066005 300132010 600264020 750330025 1500660050 3001320100