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12320212230 = 23251096072069
BaseRepresentation
bin10110111100101011…
…11000010100000110
31011210121122121221200
423132111320110012
5200212433242410
65354304523330
7614210035044
oct133625702406
934717577850
1012320212230
115252490887
12247a020546
1312145bb511
1484c373394
154c19233c0
hex2de578506

12320212230 has 96 divisors (see below), whose sum is σ = 32395334400. Its totient is φ = 3248315136.

The previous prime is 12320212211. The next prime is 12320212243. The reversal of 12320212230 is 3221202321.

12320212230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5953636 + ... + 5955704.

It is an arithmetic number, because the mean of its divisors is an integer number (337451400).

Almost surely, 212320212230 is an apocalyptic number.

12320212230 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 12320212230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16197667200).

12320212230 is an abundant number, since it is smaller than the sum of its proper divisors (20075122170).

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

12320212230 is a wasteful number, since it uses less digits than its factorization.

12320212230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2795 counting only the distinct ones).

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

Adding to 12320212230 its reverse (3221202321), we get a palindrome (15541414551).

Subtracting from 12320212230 its reverse (3221202321), we obtain a palindrome (9099009909).

The spelling of 12320212230 in words is "twelve billion, three hundred twenty million, two hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 607 654 981 1090 1214 1635 1821 1962 2069 3035 3270 3642 4138 4905 5463 6070 6207 9105 9810 10345 10926 12414 18210 18621 20690 27315 31035 37242 54630 62070 66163 93105 132326 186210 198489 225521 330815 396978 451042 595467 661630 676563 992445 1127605 1190934 1255883 1353126 1984890 2029689 2255210 2511766 2977335 3382815 3767649 4059378 5954670 6279415 6765630 7535298 10148445 11302947 12558830 18838245 20296890 22605894 37676490 56514735 113029470 136891247 273782494 410673741 684456235 821347482 1232021223 1368912470 2053368705 2464042446 4106737410 6160106115 12320212230