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12334313460 = 2235761481433
BaseRepresentation
bin10110111110010111…
…01010111111110100
31011211121012001012110
423133023222333310
5200230041012320
65355531051020
7614440635360
oct133713527764
934747161173
1012334313460
11525a442297
1224828a0a70
1312174b7a41
148501a42a0
154c2cab5e0
hex2df2eaff4

12334313460 has 96 divisors (see below), whose sum is σ = 40116932352. Its totient is φ = 2773048320.

The previous prime is 12334313443. The next prime is 12334313461. The reversal of 12334313460 is 6431343321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334313461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215097 + ... + 266336.

It is an arithmetic number, because the mean of its divisors is an integer number (417884712).

Almost surely, 212334313460 is an apocalyptic number.

12334313460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12334313460 is an abundant number, since it is smaller than the sum of its proper divisors (27782618892).

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

12334313460 is a wasteful number, since it uses less digits than its factorization.

12334313460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481513 (or 481511 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 12334313460 its reverse (6431343321), we get a palindrome (18765656781).

The spelling of 12334313460 in words is "twelve billion, three hundred thirty-four million, three hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 61 70 84 105 122 140 183 210 244 305 366 420 427 610 732 854 915 1220 1281 1708 1830 2135 2562 3660 4270 5124 6405 8540 12810 25620 481433 962866 1444299 1925732 2407165 2888598 3370031 4814330 5777196 6740062 7221495 9628660 10110093 13480124 14442990 16850155 20220186 28885980 29367413 33700310 40440372 50550465 58734826 67400620 88102239 101100930 117469652 146837065 176204478 202201860 205571891 293674130 352408956 411143782 440511195 587348260 616715673 822287564 881022390 1027859455 1233431346 1762044780 2055718910 2466862692 3083578365 4111437820 6167156730 12334313460