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330323131120224 = 253111916463473441
BaseRepresentation
bin100101100011011010101100…
…0111001000011101001100000
31121022120120201221212000210210
41023012311120321003221200
5321244003233031321344
63130312203532454120
7126402026060316144
oct11306653071035140
91538516657760723
10330323131120224
1196284287013860
123106aa0431a340
1311241450950448
145b7da20dc5224
15282c6e18a6db9
hex12c6d58e43a60

330323131120224 has 96 divisors (see below), whose sum is σ = 995710873772160. Its totient is φ = 94829607014400.

The previous prime is 330323131120159. The next prime is 330323131120267. The reversal of 330323131120224 is 422021131323033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3303231311202242 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330323131120191 and 330323131120200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8231716657 + ... + 8231756784.

It is an arithmetic number, because the mean of its divisors is an integer number (10371988268460).

Almost surely, 2330323131120224 is an apocalyptic number.

It is an amenable number.

330323131120224 is an abundant number, since it is smaller than the sum of its proper divisors (665387742651936).

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

330323131120224 is a wasteful number, since it uses less digits than its factorization.

330323131120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16463473484 (or 16463473476 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 330323131120224 its reverse (422021131323033), we get a palindrome (752344262443257).

The spelling of 330323131120224 in words is "three hundred thirty trillion, three hundred twenty-three billion, one hundred thirty-one million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 16463473441 32926946882 49390420323 65853893764 98780840646 131707787528 181098207851 197561681292 263415575056 312805995379 362196415702 395123362584 526831150112 543294623553 625611990758 724392831404 790246725168 938417986137 1086589247106 1251223981516 1448785662808 1580493450336 1876835972274 2173178494212 2502447963032 2897571325616 3440865949169 3753671944548 4346356988424 5004895926064 5795142651232 6881731898338 7507343889096 8692713976848 10009791852128 10322597847507 13763463796676 15014687778192 17385427953696 20645195695014 27526927593352 30029375556384 41290391390028 55053855186704 82580782780056 110107710373408 165161565560112 330323131120224