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3000130112 = 26711359263
BaseRepresentation
bin1011001011010010…
…0101101001000000
321202002021101211002
42302310211221000
522121013130422
61213411111132
7134226454010
oct26264455100
97662241732
103000130112
1112aa54a181
126b88a24a8
1338a72b825
1420663bc40
151285bc692
hexb2d25a40

3000130112 has 56 divisors (see below), whose sum is σ = 6864193536. Its totient is φ = 1274370048.

The previous prime is 3000130109. The next prime is 3000130123. The reversal of 3000130112 is 2110310003.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 3000130093 and 3000130102.

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 7 ways as a sum of consecutive naturals, for example, 20993 + ... + 80255.

Almost surely, 23000130112 is an apocalyptic number.

3000130112 is a gapful number since it is divisible by the number (32) 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 3000130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432096768).

3000130112 is an abundant number, since it is smaller than the sum of its proper divisors (3864063424).

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

3000130112 is a wasteful number, since it uses less digits than its factorization.

3000130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59395 (or 59385 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 3000130112 is about 54773.4434922618. The cubic root of 3000130112 is about 1442.2704204478.

Adding to 3000130112 its reverse (2110310003), we get a palindrome (5110440115).

The spelling of 3000130112 in words is "three billion, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1582 1808 3164 3616 6328 7232 12656 25312 50624 59263 118526 237052 414841 474104 829682 948208 1659364 1896416 3318728 3792832 6637456 6696719 13274912 13393438 26549824 26786876 46877033 53573752 93754066 107147504 187508132 214295008 375016264 428590016 750032528 1500065056 3000130112