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12231202230 = 23351310213413
BaseRepresentation
bin10110110010000100…
…10101010110110110
31011120102011110012000
423121002111112312
5200022141432410
65341405040130
7612046334502
oct133102252666
934512143160
1012231202230
1152072162a5
122454256046
1311cc025090
14840603302
154b8bdedc0
hex2d90955b6

12231202230 has 128 divisors (see below), whose sum is σ = 35170208640. Its totient is φ = 3006927360.

The previous prime is 12231202229. The next prime is 12231202231. The reversal of 12231202230 is 3220213221.

12231202230 is a `hidden beast` number, since 1 + 2 + 231 + 202 + 230 = 666.

12231202230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12231202229) and next prime (12231202231).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231202231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3582004 + ... + 3585416.

It is an arithmetic number, because the mean of its divisors is an integer number (274767255).

Almost surely, 212231202230 is an apocalyptic number.

12231202230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12231202230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17585104320).

12231202230 is an abundant number, since it is smaller than the sum of its proper divisors (22939006410).

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

12231202230 is a wasteful number, since it uses less digits than its factorization.

12231202230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4457 counting only the distinct ones).

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

Adding to 12231202230 its reverse (3220213221), we get a palindrome (15451415451).

The spelling of 12231202230 in words is "twelve billion, two hundred thirty-one million, two hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1021 1170 1755 2042 3063 3413 3510 5105 6126 6826 9189 10210 10239 13273 15315 17065 18378 20478 26546 27567 30630 30717 34130 39819 44369 45945 51195 55134 61434 66365 79638 88738 91890 92151 102390 119457 132730 133107 137835 153585 184302 199095 221845 238914 266214 275670 307170 358371 398190 399321 443690 460755 597285 665535 716742 798642 921510 1194570 1197963 1331070 1791855 1996605 2395926 3484673 3583710 3993210 5989815 6969346 10454019 11979630 17423365 20908038 31362057 34846730 45300749 52270095 62724114 90601498 94086171 104540190 135902247 156810285 188172342 226503745 271804494 313620570 407706741 453007490 470430855 679511235 815413482 940861710 1223120223 1359022470 2038533705 2446240446 4077067410 6115601115 12231202230