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30330222321330 = 23253139727382991
BaseRepresentation
bin1101110010101110011100…
…01000001001111010110010
310222101112121100020210010200
412321113032020021322302
512433412243403240310
6144301302313340030
76250200116662551
oct671271610117262
9128345540223120
1030330222321330
119733a7a87a718
12349a24a107616
1313c0187704119
1476bdc2289d98
15378e5a8799c0
hex1b95ce209eb2

30330222321330 has 96 divisors (see below), whose sum is σ = 81607449950208. Its totient is φ = 7807438108800.

The previous prime is 30330222321313. The next prime is 30330222321349. The reversal of 30330222321330 is 3312322203303.

30330222321330 is a `hidden beast` number, since 3 + 0 + 3 + 3 + 0 + 2 + 2 + 2 + 321 + 330 = 666.

It is a super-2 number, since 2×303302223213302 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30330222321294 and 30330222321303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12583866 + ... + 14799125.

It is an arithmetic number, because the mean of its divisors is an integer number (850077603648).

Almost surely, 230330222321330 is an apocalyptic number.

30330222321330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30330222321330 is an abundant number, since it is smaller than the sum of its proper divisors (51277227628878).

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

30330222321330 is a wasteful number, since it uses less digits than its factorization.

30330222321330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27383432 (or 27383429 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 30330222321330 its reverse (3312322203303), we get a palindrome (33642544524633).

The spelling of 30330222321330 in words is "thirty trillion, three hundred thirty billion, two hundred twenty-two million, three hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 397 465 558 794 930 1191 1395 1985 2382 2790 3573 3970 5955 7146 11910 12307 17865 24614 35730 36921 61535 73842 110763 123070 184605 221526 369210 553815 1107630 27382991 54765982 82148973 136914955 164297946 246446919 273829910 410744865 492893838 821489730 848872721 1232234595 1697745442 2464469190 2546618163 4244363605 5093236326 7639854489 8488727210 10871047427 12733090815 15279708978 21742094854 25466181630 32613142281 38199272445 54355237135 65226284562 76398544890 97839426843 108710474270 163065711405 195678853686 326131422810 337002470237 489197134215 674004940474 978394268430 1011007410711 1685012351185 2022014821422 3033022232133 3370024702370 5055037053555 6066044464266 10110074107110 15165111160665 30330222321330