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30201030312330 = 2355359352976047
BaseRepresentation
bin1101101110111101110011…
…01011110000000110001010
310221221012010201200201210110
412313132321223300012022
512424303202224443310
6144122054540255150
76234644454013233
oct667367153600612
9127835121621713
1030201030312330
1196942042aa149
1234791b3b414b6
1313b0c3904c797
14765a4822a08a
153758e891ad20
hex1b77b9af018a

30201030312330 has 128 divisors (see below), whose sum is σ = 74000803903488. Its totient is φ = 7885534871552.

The previous prime is 30201030312317. The next prime is 30201030312367. The reversal of 30201030312330 is 3321303010203.

It is a junction number, because it is equal to n+sod(n) for n = 30201030312297 and 30201030312306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4994379367 + ... + 4994385413.

It is an arithmetic number, because the mean of its divisors is an integer number (578131280496).

Almost surely, 230201030312330 is an apocalyptic number.

30201030312330 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 30201030312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37000401951744).

30201030312330 is an abundant number, since it is smaller than the sum of its proper divisors (43799773591158).

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

30201030312330 is a wasteful number, since it uses less digits than its factorization.

30201030312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12000.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 30201030312330 its reverse (3321303010203), we get a palindrome (33522333322533).

The spelling of 30201030312330 in words is "thirty trillion, two hundred one billion, thirty million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 593 795 1186 1590 1779 2965 3558 5297 5930 6047 8895 10594 12094 15891 17790 18141 26485 30235 31429 31782 36282 52970 60470 62858 79455 90705 94287 157145 158910 181410 188574 280741 314290 320491 471435 561482 640982 842223 942870 961473 1403705 1602455 1684446 1922946 2807410 3141121 3204910 3585871 4211115 4807365 6282242 7171742 8422230 9423363 9614730 10757613 15705605 17929355 18846726 21515226 31411210 32030959 35858710 47116815 53788065 64061918 94233630 96092877 107576130 160154795 166479413 190051163 192185754 320309590 332958826 380102326 480464385 499438239 570153489 832397065 950255815 960928770 998876478 1140306978 1664794130 1697640827 1900511630 2497191195 2850767445 3395281654 4994382390 5092922481 5701534890 8488204135 10185844962 16976408270 18994358687 25464612405 37988717374 50929224810 56983076061 94971793435 113966152122 189943586870 284915380305 569830760610 1006701010411 2013402020822 3020103031233 5033505052055 6040206062466 10067010104110 15100515156165 30201030312330