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20332233003312 = 2432414380088521
BaseRepresentation
bin1001001111101111101111…
…00001101001000100110000
32122222202001021110202110100
410213313313201221010300
510131110403122101222
6111124255432232400
74165645454656656
oct447676741510460
978882037422410
1020332233003312
11652994051984a
12234463383b700
13b46423cc3069
1450412a1d6dd6
15253d4c2094ac
hex127df7869130

20332233003312 has 120 divisors (see below), whose sum is σ = 59645446228368. Its totient is φ = 6458338252800.

The previous prime is 20332233003239. The next prime is 20332233003319. The reversal of 20332233003312 is 21330033223302.

20332233003312 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 2 + 23 + 300 + 331 + 2 = 666.

It is a super-2 number, since 2×203322330033122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20332233003319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39790389 + ... + 40298132.

Almost surely, 220332233003312 is an apocalyptic number.

It is an amenable number.

20332233003312 is an abundant number, since it is smaller than the sum of its proper divisors (39313213225056).

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

20332233003312 is a wasteful number, since it uses less digits than its factorization.

20332233003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80088619 (or 80088610 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 20332233003312 its reverse (21330033223302), we get a palindrome (41662266226614).

The spelling of 20332233003312 in words is "twenty trillion, three hundred thirty-two billion, two hundred thirty-three million, three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 43 48 72 82 86 123 129 144 164 172 246 258 328 344 369 387 492 516 656 688 738 774 984 1032 1476 1548 1763 1968 2064 2952 3096 3526 5289 5904 6192 7052 10578 14104 15867 21156 28208 31734 42312 63468 84624 126936 253872 80088521 160177042 240265563 320354084 480531126 640708168 720796689 961062252 1281416336 1441593378 1922124504 2883186756 3283629361 3443806403 3844249008 5766373512 6567258722 6887612806 9850888083 10331419209 11532747024 13134517444 13775225612 19701776166 20662838418 26269034888 27550451224 29552664249 30994257627 39403552332 41325676836 52538069776 55100902448 59105328498 61988515254 78807104664 82651353672 118210656996 123977030508 141196062523 157614209328 165302707344 236421313992 247954061016 282392125046 423588187569 472842627984 495908122032 564784250092 847176375138 1129568500184 1270764562707 1694352750276 2259137000368 2541529125414 3388705500552 5083058250828 6777411001104 10166116501656 20332233003312