Search a number
-
+
12102231332312 = 23111459440921379
BaseRepresentation
bin1011000000011100010100…
…1100110001010111011000
31120211221222022100212112122
42300013011030301113120
53041240332210113222
641423404402200412
72356233401005022
oct260070514612730
946757868325478
1012102231332312
11394658909a9a0
1214355b0953108
1369a30a5811b4
142dba73115012
1515ec17eb5a42
hexb01c53315d8

12102231332312 has 64 divisors (see below), whose sum is σ = 24778308240000. Its totient is φ = 5495739943680.

The previous prime is 12102231332311. The next prime is 12102231332339. The reversal of 12102231332312 is 21323313220121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102231332311) 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 15 ways as a sum of consecutive naturals, for example, 566069639 + ... + 566091017.

It is an arithmetic number, because the mean of its divisors is an integer number (387161066250).

Almost surely, 212102231332312 is an apocalyptic number.

It is an amenable number.

12102231332312 is an abundant number, since it is smaller than the sum of its proper divisors (12676076907688).

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

12102231332312 is a wasteful number, since it uses less digits than its factorization.

12102231332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27264 (or 27260 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12102231332312 its reverse (21323313220121), we get a palindrome (33425544552433).

The spelling of 12102231332312 in words is "twelve trillion, one hundred two billion, two hundred thirty-one million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 1459 2918 4409 5836 8818 11672 16049 17636 21379 32098 35272 42758 48499 64196 85516 96998 128392 171032 193996 235169 387992 470338 940676 1881352 6432731 12865462 25730924 31191961 51461848 62383922 70760041 94260011 124767844 141520082 188520022 249535688 283040164 343111571 377040044 566080328 686223142 754080088 1036860121 1372446284 2073720242 2744892568 4147440484 8294880968 137525356049 275050712098 550101424196 1100202848392 1512778916539 3025557833078 6051115666156 12102231332312