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330122013032130 = 2351116343314173759
BaseRepresentation
bin100101100001111101000010…
…1010100011011111011000010
31121021212100121200200120210020
41023003322011110123323002
5321232204340314012010
63130035543102114310
7126351346141632114
oct11303720524337302
91537770550616706
10330122013032130
1196206a61103510
1231037a3627b996
13112284abab94a7
145b73dc26173b4
1528273701c7470
hex12c3e8551bec2

330122013032130 has 128 divisors (see below), whose sum is σ = 871630452080640. Its totient is φ = 79354902389760.

The previous prime is 330122013032101. The next prime is 330122013032137. The reversal of 330122013032130 is 31230310221033.

It is a self number, because there is not a number n which added to its sum of digits gives 330122013032130.

It is not an unprimeable number, because it can be changed into a prime (330122013032137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16204191 + ... + 30377949.

It is an arithmetic number, because the mean of its divisors is an integer number (6809612906880).

Almost surely, 2330122013032130 is an apocalyptic number.

330122013032130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330122013032130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435815226040320).

330122013032130 is an abundant number, since it is smaller than the sum of its proper divisors (541508439048510).

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

330122013032130 is a wasteful number, since it uses less digits than its factorization.

330122013032130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14174376.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 330122013032130 its reverse (31230310221033), we get a palindrome (361352323253163).

The spelling of 330122013032130 in words is "three hundred thirty trillion, one hundred twenty-two billion, thirteen million, thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 163 165 326 330 433 489 815 866 978 1299 1630 1793 2165 2445 2598 3586 4330 4763 4890 5379 6495 8965 9526 10758 12990 14289 17930 23815 26895 28578 47630 53790 70579 71445 141158 142890 211737 352895 423474 705790 776369 1058685 1552738 2117370 2329107 3881845 4658214 7763690 11645535 14173759 23291070 28347518 42521277 70868795 85042554 141737590 155911349 212606385 311822698 425212770 467734047 779556745 935468094 1559113490 2310322717 2338670235 4620645434 4677340470 6137237647 6930968151 11551613585 12274475294 13861936302 18411712941 23103227170 25413549887 30686188235 34654840755 36823425882 50827099774 61372376470 67509614117 69309681510 76240649661 92058564705 127067749435 135019228234 152481299322 184117129410 202528842351 254135498870 337548070585 381203248305 405057684702 675096141170 762406496610 1000369736461 1012644211755 2000739472922 2025288423510 3001109209383 5001848682305 6002218418766 10003697364610 11004067101071 15005546046915 22008134202142 30011092093830 33012201303213 55020335505355 66024402606426 110040671010710 165061006516065 330122013032130