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200201300330232 = 233232412608357697
BaseRepresentation
bin101101100001010011111111…
…011000111100011011111000
3222020212001112211201100210210
4231201103333120330123320
5202220044230341031412
61545443112510111120
760112031566015665
oct5541237730743370
9866761484640723
10200201300330232
1158876992887933
121a55442a4ab4a0
138792b94b00416
143761b1a6b0a6c
151822a6676b83c
hexb614ff63c6f8

200201300330232 has 128 divisors (see below), whose sum is σ = 524460529359360. Its totient is φ = 63563895521280.

The previous prime is 200201300330201. The next prime is 200201300330249. The reversal of 200201300330232 is 232033003102002.

It is a junction number, because it is equal to n+sod(n) for n = 200201300330199 and 200201300330208.

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, 3469844808 + ... + 3469902504.

It is an arithmetic number, because the mean of its divisors is an integer number (4097347885620).

Almost surely, 2200201300330232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200201300330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262230264679680).

200201300330232 is an abundant number, since it is smaller than the sum of its proper divisors (324259229029128).

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

200201300330232 is a wasteful number, since it uses less digits than its factorization.

200201300330232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84053 (or 84049 counting only the distinct ones).

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

Adding to 200201300330232 its reverse (232033003102002), we get a palindrome (432234303432234).

The spelling of 200201300330232 in words is "two hundred trillion, two hundred one billion, three hundred million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 241 276 482 552 723 964 1446 1928 2892 5543 5784 11086 16629 22172 26083 33258 44344 52166 57697 66516 78249 104332 115394 133032 156498 173091 208664 230788 312996 346182 461576 599909 625992 692364 1199818 1327031 1384728 1799727 2399636 2654062 3599454 3981093 4799272 5308124 6286003 7198908 7962186 10616248 12572006 13904977 14397816 15924372 18858009 25144012 27809954 31848744 37716018 41714931 50288024 55619908 75432036 83429862 111239816 144578069 150864072 166859724 289156138 319814471 333719448 433734207 578312276 639628942 867468414 959443413 1156624552 1279257884 1504910851 1734936828 1918886826 2558515768 3009821702 3469873656 3837773652 4514732553 6019643404 7675547304 9029465106 12039286808 18058930212 34612949573 36117860424 69225899146 103838848719 138451798292 207677697438 276903596584 362683515091 415355394876 725367030182 830710789752 1088050545273 1450734060364 2176101090546 2901468120728 4352202181092 8341720847093 8704404362184 16683441694186 25025162541279 33366883388372 50050325082558 66733766776744 100100650165116 200201300330232