Search a number
-
+
3033010112 = 261116326431
BaseRepresentation
bin1011010011001000…
…0000111111000000
321211101010212200212
42310302000333000
522202422310422
61220543533252
7135106106036
oct26462007700
97741125625
103033010112
111317067430
127078ba228
133944a1652
1420ab5a556
1512b4149e2
hexb4c80fc0

3033010112 has 56 divisors (see below), whose sum is σ = 6606308352. Its totient is φ = 1370131200.

The previous prime is 3033010087. The next prime is 3033010121. The reversal of 3033010112 is 2110103303.

It is a congruent number.

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, 101537 + ... + 127967.

It is an arithmetic number, because the mean of its divisors is an integer number (117969792).

Almost surely, 23033010112 is an apocalyptic number.

3033010112 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 3033010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303154176).

3033010112 is an abundant number, since it is smaller than the sum of its proper divisors (3573298240).

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

3033010112 is a wasteful number, since it uses less digits than its factorization.

3033010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26617 (or 26607 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3033010112 is about 55072.7710579375. The cubic root of 3033010112 is about 1447.5201547919.

Adding to 3033010112 its reverse (2110103303), we get a palindrome (5143113415).

The spelling of 3033010112 in words is "three billion, thirty-three million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 163 176 326 352 652 704 1304 1793 2608 3586 5216 7172 10432 14344 26431 28688 52862 57376 105724 114752 211448 290741 422896 581482 845792 1162964 1691584 2325928 4308253 4651856 8616506 9303712 17233012 18607424 34466024 47390783 68932048 94781566 137864096 189563132 275728192 379126264 758252528 1516505056 3033010112