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234003312301230 = 233510176911158621
BaseRepresentation
bin110101001101001100100100…
…010011100101010010101110
31010200112111110011200212002000
4311031030210103211102232
5221132402240422114410
62145403345420513130
7100201116136065063
oct6515144423452256
91120474404625060
10234003312301230
116861927a3819aa
12222b34ab9ab7a6
13a0755577c4cc4
1441adb6c1acc6a
151c0be6aa05dc0
hexd4d3244e54ae

234003312301230 has 128 divisors (see below), whose sum is σ = 631006683753600. Its totient is φ = 61702705152000.

The previous prime is 234003312301229. The next prime is 234003312301243. The reversal of 234003312301230 is 32103213300432.

234003312301230 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 0 + 331 + 2 + 301 + 23 + 0 = 666.

It is a super-4 number, since 4×2340033123012304 (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 234003312301194 and 234003312301203.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 15391320 + ... + 26549940.

It is an arithmetic number, because the mean of its divisors is an integer number (4929739716825).

Almost surely, 2234003312301230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234003312301230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315503341876800).

234003312301230 is an abundant number, since it is smaller than the sum of its proper divisors (397003371452370).

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

234003312301230 is a wasteful number, since it uses less digits than its factorization.

234003312301230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11159507 (or 11159501 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 234003312301230 its reverse (32103213300432), we get a palindrome (266106525601662).

The spelling of 234003312301230 in words is "two hundred thirty-four trillion, three billion, three hundred twelve million, three hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 769 909 1010 1515 1538 1818 2307 2727 3030 3845 4545 4614 5454 6921 7690 9090 11535 13635 13842 20763 23070 27270 34605 41526 69210 77669 103815 155338 207630 233007 388345 466014 699021 776690 1165035 1398042 2097063 2330070 3495105 4194126 6990210 10485315 11158621 20970630 22317242 33475863 55793105 66951726 100427589 111586210 167379315 200855178 301282767 334758630 502137945 602565534 1004275890 1127020721 1506413835 2254041442 3012827670 3381062163 5635103605 6762124326 8580979549 10143186489 11270207210 16905310815 17161959098 20286372978 25742938647 30429559467 33810621630 42904897745 50715932445 51485877294 60859118934 77228815941 85809795490 101431864890 128714693235 152147797335 154457631882 231686447823 257429386470 304295594670 386144079705 463372895646 772288159410 866678934449 1158432239115 1733357868898 2316864478230 2600036803347 4333394672245 5200073606694 7800110410041 8666789344490 13000184016735 15600220820082 23400331230123 26000368033470 39000552050205 46800662460246 78001104100410 117001656150615 234003312301230