Search a number
-
+
330312320330330 = 25139727794564889
BaseRepresentation
bin100101100011010101101010…
…0100001001010101001011010
31121022112112211112110000001002
41023012223110201022221122
5321243314113001032310
63130303215104025002
7126401164136161232
oct11306532441125132
91538475745400032
10330312320330330
119627a739669358
12310688a7902162
1311240419ca2b50
145b7d2b72c8cc2
15282c2ac73eda5
hex12c6ad484aa5a

330312320330330 has 64 divisors (see below), whose sum is σ = 649234117516320. Its totient is φ = 120268381077504.

The previous prime is 330312320330303. The next prime is 330312320330347. The reversal of 330312320330330 is 33033023213033.

It can be written as a sum of positive squares in 16 ways, for example, as 60506104573489 + 269806215756841 = 7778567^2 + 16425779^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330312320330293 and 330312320330302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43789475 + ... + 50775414.

Almost surely, 2330312320330330 is an apocalyptic number.

330312320330330 is a deficient number, since it is larger than the sum of its proper divisors (318921797185990).

330312320330330 is a wasteful number, since it uses less digits than its factorization.

330312320330330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94565283.

The product of its (nonzero) digits is 26244, while the sum is 29.

Adding to 330312320330330 its reverse (33033023213033), we get a palindrome (363345343543363).

The spelling of 330312320330330 in words is "three hundred thirty trillion, three hundred twelve billion, three hundred twenty million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 5 10 13 26 65 97 130 194 277 485 554 970 1261 1385 2522 2770 3601 6305 7202 12610 18005 26869 36010 53738 134345 268690 349297 698594 1746485 3492970 94564889 189129778 472824445 945648890 1229343557 2458687114 6146717785 9172794233 12293435570 18345588466 26194474253 45863971165 52388948506 91727942330 119246325029 130972371265 238492650058 261944742530 340528165289 596231625145 681056330578 1192463250290 1702640826445 2540864002541 3405281652890 5081728005082 12704320012705 25408640025410 33031232033033 66062464066066 165156160165165 330312320330330