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323212220000000 = 285716160611
BaseRepresentation
bin100100101111101011011010…
…1100011110110011100000000
31120101101210020100001101001222
41021133112311203312130000
5314331002111310000000
63103225351041014212
7125036212055143202
oct11137266543663400
91511353210041058
10323212220000000
1193a92595079291
123030083a624368
1310b46a21139b36
1459b57aa996772
1527577590d8a85
hex125f5b58f6700

323212220000000 has 144 divisors (see below), whose sum is σ = 806450350716192. Its totient is φ = 129284880000000.

The previous prime is 323212219999961. The next prime is 323212220000003. The reversal of 323212220000000 is 22212323.

Adding to 323212220000000 its reverse (22212323), we get a palindrome (323212242212323).

It is a super-2 number, since 2×3232122200000002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323212220000003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11919695 + ... + 28080305.

Almost surely, 2323212220000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323212220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403225175358096).

323212220000000 is an abundant number, since it is smaller than the sum of its proper divisors (483238130716192).

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

323212220000000 is an frugal number, since it uses more digits than its factorization.

323212220000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16160662 (or 16160618 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The spelling of 323212220000000 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 78125 80000 100000 125000 156250 160000 200000 250000 312500 400000 500000 625000 800000 1000000 1250000 2000000 2500000 4000000 5000000 10000000 16160611 20000000 32321222 64642444 80803055 129284888 161606110 258569776 323212220 404015275 517139552 646424440 808030550 1034279104 1292848880 1616061100 2020076375 2068558208 2585697760 3232122200 4040152750 4137116416 5171395520 6464244400 8080305500 10100381875 10342791040 12928488800 16160611000 20200763750 20685582080 25856977600 32321222000 40401527500 50501909375 51713955200 64642444000 80803055000 101003818750 103427910400 129284888000 161606110000 202007637500 252509546875 258569776000 323212220000 404015275000 505019093750 517139552000 646424440000 808030550000 1010038187500 1262547734375 1292848880000 1616061100000 2020076375000 2525095468750 2585697760000 3232122200000 4040152750000 5050190937500 6464244400000 8080305500000 10100381875000 12928488800000 16160611000000 20200763750000 32321222000000 40401527500000 64642444000000 80803055000000 161606110000000 323212220000000