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232123340312300 = 225271732593172717
BaseRepresentation
bin110100110001110101101101…
…001111100100111011101100
31010102212202220200201201120102
4310301311231033210323230
5220411102100104443200
62141403553532410232
766615233522615243
oct6461655517447354
91112782820651512
10232123340312300
1167a63a57188388
122204b085016978
139c6a1a21a48b8
144146b8867795a
151bc80da1b36d5
hexd31d6d3e4eec

232123340312300 has 144 divisors (see below), whose sum is σ = 518002102118592. Its totient is φ = 90252262195200.

The previous prime is 232123340312231. The next prime is 232123340312309. The reversal of 232123340312300 is 3213043321232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (232123340312309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1343865542 + ... + 1344038258.

It is an arithmetic number, because the mean of its divisors is an integer number (3597236820268).

Almost surely, 2232123340312300 is an apocalyptic number.

232123340312300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232123340312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259001051059296).

232123340312300 is an abundant number, since it is smaller than the sum of its proper divisors (285878761806292).

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

232123340312300 is a wasteful number, since it uses less digits than its factorization.

232123340312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175468 (or 175461 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 232123340312300 its reverse (3213043321232), we get a palindrome (235336383633532).

The spelling of 232123340312300 in words is "two hundred thirty-two trillion, one hundred twenty-three billion, three hundred forty million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 71 73 100 142 146 284 292 355 365 710 730 1420 1460 1775 1825 2593 3550 3650 5183 5186 7100 7300 10366 10372 12965 20732 25915 25930 51830 51860 64825 103660 129575 129650 172717 184103 189289 259150 259300 345434 368206 378578 518300 690868 736412 757156 863585 920515 946445 1727170 1841030 1892890 3454340 3682060 3785780 4317925 4602575 4732225 8635850 9205150 9464450 12262907 12608341 13439519 17271700 18410300 18928900 24525814 25216682 26879038 49051628 50433364 53758076 61314535 63041705 67197595 122629070 126083410 134395190 245258140 252166820 268790380 306572675 315208525 335987975 447855181 613145350 630417050 671975950 895192211 895710362 1226290700 1260834100 1343951900 1790384422 1791420724 2239275905 3580768844 4475961055 4478551810 8951922110 8957103620 11196379525 17903844220 22379805275 22392759050 31797717851 32693428213 44759610550 44785518100 63595435702 65386856426 89519221100 127190871404 130773712852 158988589255 163467141065 317977178510 326934282130 635954357020 653868564260 794942946275 817335705325 1589885892550 1634671410650 2321233403123 3179771785100 3269342821300 4642466806246 9284933612492 11606167015615 23212334031230 46424668062460 58030835078075 116061670156150 232123340312300