Search a number
-
+
12033210022300 = 2252715932858041
BaseRepresentation
bin1010111100011011001100…
…1101010111100110011100
31120121100211002121000221101
42233012303031113212130
53034123003231203200
641331551432042444
72351241106362655
oct257066315274634
946540732530841
1012033210022300
11391a28a397125
121424149833424
1369395ab2225c
142d85a64a052c
1515d02877726a
hexaf1b335799c

12033210022300 has 72 divisors (see below), whose sum is σ = 26524504635552. Its totient is φ = 4737487104000.

The previous prime is 12033210022291. The next prime is 12033210022313. The reversal of 12033210022300 is 322001233021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2781280 + ... + 5639320.

It is an arithmetic number, because the mean of its divisors is an integer number (368395897716).

Almost surely, 212033210022300 is an apocalyptic number.

12033210022300 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 12033210022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262252317776).

12033210022300 is an abundant number, since it is smaller than the sum of its proper divisors (14491294613252).

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

12033210022300 is a wasteful number, since it uses less digits than its factorization.

12033210022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858719 (or 2858712 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12033210022300 its reverse (322001233021), we get a palindrome (12355211255321).

The spelling of 12033210022300 in words is "twelve trillion, thirty-three billion, two hundred ten million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 593 710 1186 1420 1775 2372 2965 3550 5930 7100 11860 14825 29650 42103 59300 84206 168412 210515 421030 842060 1052575 2105150 2858041 4210300 5716082 11432164 14290205 28580410 57160820 71451025 142902050 202920911 285804100 405841822 811683644 1014604555 1694818313 2029209110 3389636626 4058418220 5073022775 6779273252 8474091565 10146045550 16948183130 20292091100 33896366260 42370457825 84740915650 120332100223 169481831300 240664200446 481328400892 601660501115 1203321002230 2406642004460 3008302505575 6016605011150 12033210022300