Search a number
-
+
12005341050 = 2352238594051
BaseRepresentation
bin10110010111001001…
…01111011101111010
31010222200011111220010
423023210233131322
5144041331403200
65303140042350
7603334500213
oct131344573572
933880144803
1012005341050
11510077a46a
1223b06933b6
1311942b4901
1481c60c40a
154a3e78150
hex2cb92f77a

12005341050 has 96 divisors (see below), whose sum is σ = 31111580160. Its totient is φ = 3057912000.

The previous prime is 12005341021. The next prime is 12005341079. The reversal of 12005341050 is 5014350021.

It is an interprime number because it is at equal distance from previous prime (12005341021) and next prime (12005341079).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2961525 + ... + 2965575.

It is an arithmetic number, because the mean of its divisors is an integer number (324078960).

Almost surely, 212005341050 is an apocalyptic number.

12005341050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12005341050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15555790080).

12005341050 is an abundant number, since it is smaller than the sum of its proper divisors (19106239110).

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

12005341050 is a wasteful number, since it uses less digits than its factorization.

12005341050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 12005341050 its reverse (5014350021), we get a palindrome (17019691071).

The spelling of 12005341050 in words is "twelve billion, five million, three hundred forty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 859 1150 1718 1725 2577 3450 4051 4295 5154 8102 8590 12153 12885 19757 20255 21475 24306 25770 39514 40510 42950 59271 60765 64425 93173 98785 101275 118542 121530 128850 186346 197570 202550 279519 296355 303825 465865 493925 559038 592710 607650 931730 987850 1397595 1481775 2329325 2795190 2963550 3479809 4658650 6959618 6987975 10439427 13975950 17399045 20878854 34798090 52197135 80035607 86995225 104394270 160071214 173990450 240106821 260985675 400178035 480213642 521971350 800356070 1200534105 2000890175 2401068210 4001780350 6002670525 12005341050