Search a number
-
+
12241314000 = 243353226691
BaseRepresentation
bin10110110011010001…
…11010000011010000
31011121010012011221000
423121220322003100
5200032234022000
65342405502000
7612231311046
oct133150720320
934533164830
1012241314000
1152119a2433
122457711900
131201155786
14841ab6396
154b9a3b000
hex2d9a3a0d0

12241314000 has 160 divisors (see below), whose sum is σ = 43851300480. Its totient is φ = 3264336000.

The previous prime is 12241313999. The next prime is 12241314011. The reversal of 12241314000 is 41314221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59346 + ... + 167345.

It is an arithmetic number, because the mean of its divisors is an integer number (274070628).

Almost surely, 212241314000 is an apocalyptic number.

12241314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12241314000 is an abundant number, since it is smaller than the sum of its proper divisors (31609986480).

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

12241314000 is a wasteful number, since it uses less digits than its factorization.

12241314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226723 (or 226701 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12241314000 its reverse (41314221), we get a palindrome (12282628221).

The spelling of 12241314000 in words is "twelve billion, two hundred forty-one million, three hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 54000 226691 453382 680073 906764 1133455 1360146 1813528 2040219 2266910 2720292 3400365 3627056 4080438 4533820 5440584 5667275 6120657 6800730 8160876 9067640 10201095 10881168 11334550 12241314 13601460 16321752 17001825 18135280 20402190 22669100 24482628 27202920 28336375 30603285 32643504 34003650 40804380 45338200 48965256 51005475 54405840 56672750 61206570 68007300 81608760 85009125 90676400 97930512 102010950 113345500 122413140 136014600 153016425 163217520 170018250 204021900 226691000 244826280 255027375 272029200 306032850 340036500 408043800 453382000 489652560 510054750 612065700 680073000 765082125 816087600 1020109500 1224131400 1360146000 1530164250 2040219000 2448262800 3060328500 4080438000 6120657000 12241314000