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3001001100 = 2235210003337
BaseRepresentation
bin1011001011011111…
…1010010010001100
321202010220122120220
42302313322102030
522121224013400
61213441511340
7134240042226
oct26267722214
97663818526
103001001100
1112aaa945a9
126b9042550
1338a9750c6
142067c7416
151286e07a0
hexb2dfa48c

3001001100 has 36 divisors (see below), whose sum is σ = 8682897384. Its totient is φ = 800266880.

The previous prime is 3001001053. The next prime is 3001001123. The reversal of 3001001100 is 11001003.

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 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 11 ways as a sum of consecutive naturals, for example, 5001369 + ... + 5001968.

It is an arithmetic number, because the mean of its divisors is an integer number (241191594).

Almost surely, 23001001100 is an apocalyptic number.

3001001100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001001100 is an abundant number, since it is smaller than the sum of its proper divisors (5681896284).

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

3001001100 is a wasteful number, since it uses less digits than its factorization.

3001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10003354 (or 10003347 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 3001001100 is about 54781.3937391155. The cubic root of 3001001100 is about 1442.4099786932.

Adding to 3001001100 its reverse (11001003), we get a palindrome (3012002103).

The spelling of 3001001100 in words is "three billion, one million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 10003337 20006674 30010011 40013348 50016685 60020022 100033370 120040044 150050055 200066740 250083425 300100110 500166850 600200220 750250275 1000333700 1500500550 3001001100