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12240310302 = 2341119973727
BaseRepresentation
bin10110110011001010…
…00101000000011110
31011121001022012010000
423121211011000132
5200032004412202
65342332155130
7612216630603
oct133145050036
934531265100
1012240310302
115211377330
122457308aa6
131200b9397c
148418d46aa
154b98dd91c
hex2d994501e

12240310302 has 160 divisors (see below), whose sum is σ = 31828769280. Its totient is φ = 3476805120.

The previous prime is 12240310253. The next prime is 12240310331. The reversal of 12240310302 is 20301304221.

12240310302 is a `hidden beast` number, since 12 + 2 + 40 + 310 + 302 = 666.

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 79 ways as a sum of consecutive naturals, for example, 3282363 + ... + 3286089.

It is an arithmetic number, because the mean of its divisors is an integer number (198929808).

Almost surely, 212240310302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12240310302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15914384640).

12240310302 is an abundant number, since it is smaller than the sum of its proper divisors (19588458978).

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

12240310302 is a wasteful number, since it uses less digits than its factorization.

12240310302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12240310302 its reverse (20301304221), we get a palindrome (32541614523).

The spelling of 12240310302 in words is "twelve billion, two hundred forty million, three hundred ten thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 97 99 114 162 171 194 198 209 291 297 342 418 513 582 594 627 873 891 1026 1067 1254 1539 1746 1782 1843 1881 2134 2619 3078 3201 3686 3727 3762 5238 5529 5643 6402 7454 7857 9603 11058 11181 11286 15714 16587 16929 19206 20273 22362 28809 33174 33543 33858 40546 40997 49761 57618 60819 67086 70813 81994 86427 99522 100629 121638 122991 141626 149283 172854 182457 201258 212439 245982 298566 301887 361519 364914 368973 424878 547371 603774 637317 723038 737946 778943 1084557 1094742 1106919 1274634 1557886 1642113 1911951 2169114 2213838 2336829 3253671 3284226 3320757 3823902 3976709 4673658 5735853 6507342 6641514 6868861 7010487 7953418 9761013 11471706 11930127 13737722 14020974 19522026 20606583 21031461 23860254 29283039 35790381 41213166 42062922 58566078 61819749 63094383 71580762 75557471 107371143 123639498 126188766 151114942 185459247 214742286 226672413 322113429 370918494 453344826 556377741 644226858 680017239 1112755482 1360034478 2040051717 4080103434 6120155151 12240310302