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223243312432041 = 321119971369789329
BaseRepresentation
bin110010110000100111100010…
…010101100000001110101001
31002021102212000021122001012100
4302300213202111200032221
5213230104300440311131
62110444321213004013
765010540252212556
oct6260474225401651
91067385007561170
10223243312432041
116514aa58a21540
1221056071783609
1397749a57ba095
143d1b06931ba2d
151ac210e2d17e6
hexcb09e25603a9

223243312432041 has 96 divisors (see below), whose sum is σ = 374140881878400. Its totient is φ = 126845874339840.

The previous prime is 223243312432013. The next prime is 223243312432057. The reversal of 223243312432041 is 140234213342322.

223243312432041 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 433 + 12 + 4 + 3 + 204 + 1 = 666.

It is not a de Polignac number, because 223243312432041 - 226 = 223243245323177 is a prime.

It is a super-3 number, since 3×2232433124320413 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223243312431987 and 223243312432005.

It is not an unprimeable number, because it can be changed into a prime (223243312432241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2499068865 + ... + 2499158193.

It is an arithmetic number, because the mean of its divisors is an integer number (3897300852900).

Almost surely, 2223243312432041 is an apocalyptic number.

It is an amenable number.

223243312432041 is a deficient number, since it is larger than the sum of its proper divisors (150897569446359).

223243312432041 is a wasteful number, since it uses less digits than its factorization.

223243312432041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103159 (or 103156 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 223243312432041 its reverse (140234213342322), we get a palindrome (363477525774363).

The spelling of 223243312432041 in words is "two hundred twenty-three trillion, two hundred forty-three billion, three hundred twelve million, four hundred thirty-two thousand, forty-one".

Divisors: 1 3 9 11 19 33 57 97 99 171 209 291 627 873 1067 1843 1881 3201 5529 9603 13697 16587 20273 41091 60819 89329 123273 150667 182457 260243 267987 452001 780729 803961 982619 1328609 1356003 1697251 2342187 2862673 2947857 3985827 5091753 8588019 8664913 8843571 11957481 14614699 15275259 18669761 25243571 25764057 25994739 43844097 56009283 75730713 77984217 95314043 131532291 164633347 168027849 227192139 277679281 285942129 493900041 833037843 857826387 1223539313 1481700123 1810966817 2499113529 3670617939 5432900451 11011853817 13458932443 16298701353 23247246947 40376797329 69741740841 118683313361 121130391987 209225222523 255719716417 356049940083 767159149251 1068149820249 1305516446971 2254982953859 2301477447753 3916549340913 6764948861577 11749648022739 20294846584731 24804812492449 74414437477347 223243312432041