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330121012031320 = 235374633163152311
BaseRepresentation
bin100101100001111100100100…
…1101001111010111101011000
31121021212021000221010110211011
41023003321021221322331120
5321232200313040000240
63130035255503143304
7126351312265362316
oct11303711151727530
91537767027113734
10330121012031320
1196206598066814
12310377b6ba4b34
131122837c5bb913
145b73d296c90b6
1528273123996ea
hex12c3e49a7af58

330121012031320 has 128 divisors (see below), whose sum is σ = 764741541795840. Its totient is φ = 128160662192640.

The previous prime is 330121012031263. The next prime is 330121012031323. The reversal of 330121012031320 is 23130210121033.

It is a junction number, because it is equal to n+sod(n) for n = 330121012031291 and 330121012031300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330121012031323) 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, 2167337965 + ... + 2167490275.

It is an arithmetic number, because the mean of its divisors is an integer number (5974543295280).

Almost surely, 2330121012031320 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 330121012031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382370770897920).

330121012031320 is an abundant number, since it is smaller than the sum of its proper divisors (434620529764520).

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

330121012031320 is a wasteful number, since it uses less digits than its factorization.

330121012031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155985 (or 155981 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 330121012031320 its reverse (23130210121033), we get a palindrome (353251222152353).

The spelling of 330121012031320 in words is "three hundred thirty trillion, one hundred twenty-one billion, twelve million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 463 740 926 1480 1852 2315 3163 3704 4630 6326 9260 12652 15815 17131 18520 25304 31630 34262 63260 68524 85655 117031 126520 137048 152311 171310 234062 304622 342620 468124 585155 609244 685240 761555 936248 1170310 1218488 1464469 1523110 2340620 2928938 3046220 4681240 5635507 5857876 6092440 7322345 11271014 11715752 14644690 22542028 28177535 29289380 45084056 54185353 56355070 58578760 70519993 108370706 112710140 141039986 216741412 225420280 270926765 282079972 352599965 433482824 481759693 541853530 564159944 705199930 963519386 1083707060 1410399860 1927038772 2167414120 2408798465 2609239741 2820799720 3854077544 4817596930 5218479482 9635193860 10436958964 13046198705 17825108641 19270387720 20873917928 26092397410 35650217282 52184794820 71300434564 89125543205 104369589640 142600869128 178251086410 223054737859 356502172820 446109475718 713004345640 892218951436 1115273689295 1784437902872 2230547378590 4461094757180 8253025300783 8922189514360 16506050601566 33012101203132 41265126503915 66024202406264 82530253007830 165060506015660 330121012031320