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230011320330 = 234511113228451
BaseRepresentation
bin1101011000110110111…
…1100011100000001010
3210222200212212201110000
43112031233203200022
512232030344222310
6253355444503430
722421615651511
oct3261557434012
9728625781400
10230011320330
1189602437380
12386b23aab76
13188c7b48a9c
14b1bdc35678
155eb30874c0
hex358dbe380a

230011320330 has 160 divisors (see below), whose sum is σ = 680673647808. Its totient is φ = 55266624000.

The previous prime is 230011320289. The next prime is 230011320361. The reversal of 230011320330 is 33023110032.

230011320330 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 11 + 320 + 330 = 666.

230011320330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 892605 + ... + 1121055.

Almost surely, 2230011320330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230011320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340336823904).

230011320330 is an abundant number, since it is smaller than the sum of its proper divisors (450662327478).

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

230011320330 is a wasteful number, since it uses less digits than its factorization.

230011320330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228594 (or 228585 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 230011320330 its reverse (33023110032), we get a palindrome (263034430362).

The spelling of 230011320330 in words is "two hundred thirty billion, eleven million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 113 135 162 165 198 226 270 297 330 339 405 495 565 594 678 810 891 990 1017 1130 1243 1485 1695 1782 2034 2486 2970 3051 3390 3729 4455 5085 6102 6215 7458 8910 9153 10170 11187 12430 15255 18306 18645 22374 30510 33561 37290 45765 55935 67122 91530 100683 111870 167805 201366 228451 335610 456902 503415 685353 1006830 1142255 1370706 2056059 2284510 2512961 3426765 4112118 5025922 6168177 6853530 7538883 10280295 12336354 12564805 15077766 18504531 20560590 22616649 25129610 25814963 30840885 37009062 37694415 45233298 51629926 61681770 67849947 75388830 77444889 92522655 113083245 129074815 135699894 154889778 185045310 203549841 226166490 232334667 258149630 283964593 339249735 387224445 407099682 464669334 567929186 678499470 697004001 774448890 851893779 1017749205 1161673335 1394008002 1419822965 1703787558 2035498410 2091012003 2323346670 2555681337 2839645930 3485020005 4182024006 4259468895 5111362674 6970040010 7667044011 8518937790 10455060015 12778406685 15334088022 20910120030 23001132033 25556813370 38335220055 46002264066 76670440110 115005660165 230011320330