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213330330330 = 235136181111057
BaseRepresentation
bin1100011010101101111…
…0101000001011011010
3202101122100122121222120
43012223132220023122
511443400031032310
6242000321202110
721261344613555
oct3065336501332
9671570577876
10213330330330
1182522456727
1235417a90336
1317169c7b0c0
14a47a67769c
1558388c6b70
hex31ab7a82da

213330330330 has 128 divisors (see below), whose sum is σ = 561157583616. Its totient is φ = 51582873600.

The previous prime is 213330330289. The next prime is 213330330331. The reversal of 213330330330 is 33033033312.

It is a happy number.

It is a super-5 number, since 5×2133303303305 (a number of 58 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213330330330.

It is not an unprimeable number, because it can be changed into a prime (213330330331) 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, 19288162 + ... + 19299218.

It is an arithmetic number, because the mean of its divisors is an integer number (4384043622).

Almost surely, 2213330330330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213330330330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280578791808).

213330330330 is an abundant number, since it is smaller than the sum of its proper divisors (347827253286).

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

213330330330 is a wasteful number, since it uses less digits than its factorization.

213330330330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11952.

The product of its (nonzero) digits is 4374, while the sum is 24.

Adding to 213330330330 its reverse (33033033312), we get a palindrome (246363363642).

The spelling of 213330330330 in words is "two hundred thirteen billion, three hundred thirty million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 183 195 305 366 390 610 793 811 915 1586 1622 1830 2379 2433 3965 4055 4758 4866 7930 8110 10543 11057 11895 12165 21086 22114 23790 24330 31629 33171 49471 52715 55285 63258 66342 98942 105430 110570 143741 148413 158145 165855 247355 287482 296826 316290 331710 431223 494710 643123 674477 718705 742065 862446 1286246 1348954 1437410 1484130 1929369 2023431 2156115 3215615 3372385 3858738 4046862 4312230 6431230 6744770 8768201 8967227 9646845 10117155 17536402 17934454 19293690 20234310 26304603 26901681 43841005 44836135 52609206 53803362 87682010 89672270 116573951 131523015 134508405 233147902 263046030 269016810 349721853 547000847 582869755 699443706 1094001694 1165739510 1641002541 1748609265 2735004235 3282005082 3497218530 5470008470 7111011011 8205012705 14222022022 16410025410 21333033033 35555055055 42666066066 71110110110 106665165165 213330330330