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323212211103144 = 2331111231814360089
BaseRepresentation
bin100100101111101011011010…
…1000001111010010110101000
31120101101210012201022100212210
41021133112311001322112220
5314331002102020300034
63103225350122205120
7125036211616416636
oct11137266501722650
91511353181270783
10323212211103144
1193a92590051a10
12303008376537a0
1310b46a1c34341c
1459b57a971c356
15275775842c8e9
hex125f5b507a5a8

323212211103144 has 128 divisors (see below), whose sum is σ = 882336101068800. Its totient is φ = 97848856680960.

The previous prime is 323212211103143. The next prime is 323212211103149. The reversal of 323212211103144 is 441301112212323.

It is a super-2 number, since 2×3232122111031442 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (323212211103143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5378861452 + ... + 5378921540.

It is an arithmetic number, because the mean of its divisors is an integer number (6893250789600).

Almost surely, 2323212211103144 is an apocalyptic number.

It is an amenable number.

323212211103144 is an abundant number, since it is smaller than the sum of its proper divisors (559123889965656).

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

323212211103144 is a wasteful number, since it uses less digits than its factorization.

323212211103144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79375 (or 79371 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 323212211103144 its reverse (441301112212323), we get a palindrome (764513323315467).

The spelling of 323212211103144 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred eleven million, one hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1123 2246 3369 4492 6738 8984 12353 13476 18143 24706 26952 36286 37059 49412 54429 60089 72572 74118 98824 108858 120178 145144 148236 180267 199573 217716 240356 296472 360534 399146 435432 480712 598719 660979 721068 798292 1197438 1321958 1442136 1596584 1982937 2394876 2643916 3965874 4789752 5287832 7931748 15863496 20374589 40749178 61123767 67479947 81498356 122247534 134959894 162996712 202439841 224120479 244495068 269919788 404879682 448240958 488990136 539839576 672361437 742279417 809759364 896481916 1090194727 1344722874 1484558834 1619518728 1792963832 2180389454 2226838251 2689445748 2969117668 3270584181 4360778908 4453676502 5378891496 5938235336 6541168362 8721557816 8907353004 11992141997 13082336724 17814706008 23984283994 26164673448 35976425991 47968567988 71952851982 95937135976 143905703964 287811407928 1224288678421 2448577356842 3672866035263 4897154713684 7345732070526 9794309427368 13467175462631 14691464141052 26934350925262 29382928282104 40401526387893 53868701850524 80803052775786 107737403701048 161606105551572 323212211103144