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231300032322000 = 24353192372003951
BaseRepresentation
bin110100100101110110111100…
…010000110101100111010000
31010022222001210221111101201210
4310211312330100311213100
5220304104431233301000
62135533433513100120
766501606265304565
oct6445667420654720
91108861727441653
10231300032322000
116777687a2a2594
1221b375b49b7640
139c0a6654013b5
144118da497086c
151bb19a0a25350
hexd25dbc4359d0

231300032322000 has 160 divisors (see below), whose sum is σ = 745750440774144. Its totient is φ = 61676771520000.

The previous prime is 231300032321987. The next prime is 231300032322011. The reversal of 231300032322000 is 223230003132.

231300032322000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114420025 + ... + 116423975.

Almost surely, 2231300032322000 is an apocalyptic number.

231300032322000 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 231300032322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372875220387072).

231300032322000 is an abundant number, since it is smaller than the sum of its proper divisors (514450408452144).

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

231300032322000 is a wasteful number, since it uses less digits than its factorization.

231300032322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023214 (or 2023198 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 231300032322000 its reverse (223230003132), we get a palindrome (231523262325132).

The spelling of 231300032322000 in words is "two hundred thirty-one trillion, three hundred billion, thirty-two million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 19237 38474 57711 76948 96185 115422 153896 192370 230844 288555 307792 384740 461688 480925 577110 769480 923376 961850 1154220 1442775 1538960 1923700 2003951 2308440 2404625 2885550 3847400 4007902 4616880 4809250 5771100 6011853 7213875 7694800 8015804 9618500 10019755 11542200 12023706 14427750 16031608 19237000 20039510 23084400 24047412 28855500 30059265 32063216 38474000 40079020 48094824 50098775 57711000 60118530 80158040 96189648 100197550 115422000 120237060 150296325 160316080 200395100 240474120 250493875 300592650 400790200 480948240 500987750 601185300 751481625 801580400 1001975500 1202370600 1502963250 2003951000 2404741200 3005926500 4007902000 6011853000 12023706000 38550005387 77100010774 115650016161 154200021548 192750026935 231300032322 308400043096 385500053870 462600064644 578250080805 616800086192 771000107740 925200129288 963750134675 1156500161610 1542000215480 1850400258576 1927500269350 2313000323220 2891250404025 3084000430960 3855000538700 4626000646440 4818750673375 5782500808050 7710001077400 9252001292880 9637501346750 11565001616100 14456252020125 15420002154800 19275002693500 23130003232200 28912504040250 38550005387000 46260006464400 57825008080500 77100010774000 115650016161000 231300032322000