Search a number
-
+
12302343200 = 255273316637
BaseRepresentation
bin10110111010100011…
…01101110000100000
31011202101000210020202
423131101231300200
5200143344440300
65352425524332
7613602122540
oct133521556040
934671023222
1012302343200
115243396594
1224740436a8
1312109a3024
14849c41320
154c0093ad5
hex2dd46dc20

12302343200 has 144 divisors (see below), whose sum is σ = 34432421184. Its totient is φ = 4204569600.

The previous prime is 12302343133. The next prime is 12302343203. The reversal of 12302343200 is 234320321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12302343203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1850282 + ... + 1856918.

It is an arithmetic number, because the mean of its divisors is an integer number (239114036).

Almost surely, 212302343200 is an apocalyptic number.

12302343200 is a gapful number since it is divisible by the number (10) 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 12302343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17216210592).

12302343200 is an abundant number, since it is smaller than the sum of its proper divisors (22130077984).

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

12302343200 is a wasteful number, since it uses less digits than its factorization.

12302343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6995 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12302343200 its reverse (234320321), we get a palindrome (12536663521).

The spelling of 12302343200 in words is "twelve billion, three hundred two million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 331 350 400 560 662 700 800 1120 1324 1400 1655 2317 2648 2800 3310 4634 5296 5600 6620 6637 8275 9268 10592 11585 13240 13274 16550 18536 23170 26480 26548 33100 33185 37072 46340 46459 52960 53096 57925 66200 66370 74144 92680 92918 106192 115850 132400 132740 165925 185360 185836 212384 231700 232295 264800 265480 331850 370720 371672 463400 464590 530960 663700 743344 926800 929180 1061920 1161475 1327400 1486688 1853600 1858360 2196847 2322950 2654800 3716720 4393694 4645900 5309600 7433440 8787388 9291800 10984235 15377929 17574776 18583600 21968470 30755858 35149552 37167200 43936940 54921175 61511716 70299104 76889645 87873880 109842350 123023432 153779290 175747760 219684700 246046864 307558580 351495520 384448225 439369400 492093728 615117160 768896450 878738800 1230234320 1537792900 1757477600 2460468640 3075585800 6151171600 12302343200