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12413213200 = 2452109728289
BaseRepresentation
bin10111000111110001…
…01001101000010000
31012001002122120022001
423203320221220100
5200410240310300
65411430123344
7616416366643
oct134370515020
935032576261
1012413213200
11529aa31893
1224a51b0554
13122a95138b
1485a861a5a
154c9b9416a
hex2e3e29a10

12413213200 has 60 divisors (see below), whose sum is σ = 29850985620. Its totient is φ = 4960583680.

The previous prime is 12413213179. The next prime is 12413213203. The reversal of 12413213200 is 231231421.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5035536 + 12408177664 = 2244^2 + 111392^2 .

It is not an unprimeable number, because it can be changed into a prime (12413213203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424656 + ... + 452944.

It is an arithmetic number, because the mean of its divisors is an integer number (497516427).

Almost surely, 212413213200 is an apocalyptic number.

12413213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12413213200 is an abundant number, since it is smaller than the sum of its proper divisors (17437772420).

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

12413213200 is a wasteful number, since it uses less digits than its factorization.

12413213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29404 (or 29393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12413213200 its reverse (231231421), we get a palindrome (12644444621).

The spelling of 12413213200 in words is "twelve billion, four hundred thirteen million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1097 2194 4388 5485 8776 10970 17552 21940 27425 28289 43880 54850 56578 87760 109700 113156 141445 219400 226312 282890 438800 452624 565780 707225 1131560 1414450 2263120 2828900 5657800 11315600 31033033 62066066 124132132 155165165 248264264 310330330 496528528 620660660 775825825 1241321320 1551651650 2482642640 3103303300 6206606600 12413213200