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12145243700 = 22521744316127
BaseRepresentation
bin10110100111110100…
…11011011000110100
31011100102102022020202
423103322123120310
5144333140244300
65325054420032
7606653603522
oct132372333064
934312368222
1012145243700
115172745397
12242b501618
1311b7289845
14833029312
154b13b0ad5
hex2d3e9b634

12145243700 has 72 divisors (see below), whose sum is σ = 27970209792. Its totient is φ = 4561722880.

The previous prime is 12145243699. The next prime is 12145243709. The reversal of 12145243700 is 734254121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145243709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745037 + ... + 761163.

It is an arithmetic number, because the mean of its divisors is an integer number (388475136).

Almost surely, 212145243700 is an apocalyptic number.

12145243700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12145243700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13985104896).

12145243700 is an abundant number, since it is smaller than the sum of its proper divisors (15824966092).

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

12145243700 is a wasteful number, since it uses less digits than its factorization.

12145243700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16601 (or 16594 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

Adding to 12145243700 its reverse (734254121), we get a palindrome (12879497821).

The spelling of 12145243700 in words is "twelve billion, one hundred forty-five million, two hundred forty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 443 850 886 1700 1772 2215 4430 7531 8860 11075 15062 16127 22150 30124 32254 37655 44300 64508 75310 80635 150620 161270 188275 274159 322540 376550 403175 548318 753100 806350 1096636 1370795 1612700 2741590 5483180 6853975 7144261 13707950 14288522 27415900 28577044 35721305 71442610 121452437 142885220 178606525 242904874 357213050 485809748 607262185 714426100 1214524370 2429048740 3036310925 6072621850 12145243700