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330121331330320 = 245177115122641197
BaseRepresentation
bin100101100001111100101110…
…0101011111100110100010000
31121021212021212011221112201001
41023003321130223330310100
5321232201441310032240
63130035351310551344
7126351323223361225
oct11303713453746420
91537767764845631
10330121331330320
1196206741321892
1231037885b08554
13112284007b5a3a
145b73d59c8394c
15282733041b89a
hex12c3e5cafcd10

330121331330320 has 160 divisors (see below), whose sum is σ = 829585087013376. Its totient is φ = 121719069696000.

The previous prime is 330121331330281. The next prime is 330121331330419. The reversal of 330121331330320 is 23033133121033.

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, 3259962 + ... + 25901158.

Almost surely, 2330121331330320 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 330121331330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414792543506688).

330121331330320 is an abundant number, since it is smaller than the sum of its proper divisors (499463755683056).

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

330121331330320 is a wasteful number, since it uses less digits than its factorization.

330121331330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22641449 (or 22641443 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 330121331330320 its reverse (23033133121033), we get a palindrome (353154464451353).

The spelling of 330121331330320 in words is "three hundred thirty trillion, one hundred twenty-one billion, three hundred thirty-one million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 71 80 85 136 142 151 170 272 284 302 340 355 568 604 680 710 755 1136 1207 1208 1360 1420 1510 2414 2416 2567 2840 3020 4828 5134 5680 6035 6040 9656 10268 10721 12070 12080 12835 19312 20536 21442 24140 25670 41072 42884 48280 51340 53605 85768 96560 102680 107210 171536 182257 205360 214420 364514 428840 729028 857680 911285 1458056 1822570 2916112 3645140 7290280 14580560 22641197 45282394 90564788 113205985 181129576 226411970 362259152 384900349 452823940 769800698 905647880 1539601396 1607524987 1811295760 1924501745 3079202792 3215049974 3418820747 3849003490 6158405584 6430099948 6837641494 7698006980 8037624935 12860199896 13675282988 15396013960 16075249870 17094103735 25720399792 27327924779 27350565976 30792027920 32150499740 34188207470 54655849558 54701131952 58119952699 64300999480 68376414940 109311699116 116239905398 128601998960 136639623895 136752829880 218623398232 232479810796 242736273037 273279247790 273505659760 290599763495 437246796464 464959621592 485472546074 546558495580 581199526990 929919243184 970945092148 1093116991160 1162399053980 1213681365185 1941890184296 2186233982320 2324798107960 2427362730370 3883780368592 4126516641629 4649596215920 4854725460740 8253033283258 9709450921480 16506066566516 19418901842960 20632583208145 33012133133032 41265166416290 66024266266064 82530332832580 165060665665160 330121331330320