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232002313000002 = 2321371013422921961
BaseRepresentation
bin110100110000000100111111…
…011101000001010001000010
31010102110012112002111020112100
4310300010333131001101002
5220402111214112000002
62141232220301211230
766603420410466246
oct6460047735012102
91112405462436470
10232002313000002
1167a176a0445336
122202b729260b16
139c5b95520983c
144140d86b14426
151bc4da4e3411c
hexd3013f741442

232002313000002 has 96 divisors (see below), whose sum is σ = 506983590762480. Its totient is φ = 76672210728960.

The previous prime is 232002312999979. The next prime is 232002313000019. The reversal of 232002313000002 is 200000313200232.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 158953821920721 + 73048491079281 = 12607689^2 + 8546841^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10564276302 + ... + 10564298262.

Almost surely, 2232002313000002 is an apocalyptic number.

232002313000002 is an abundant number, since it is smaller than the sum of its proper divisors (274981277762478).

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

232002313000002 is a wasteful number, since it uses less digits than its factorization.

232002313000002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27348 (or 27345 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232002313000002 its reverse (200000313200232), we get a palindrome (432002626200234).

The spelling of 232002313000002 in words is "two hundred thirty-two trillion, two billion, three hundred thirteen million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 137 274 411 822 1013 1233 2026 2466 3039 4229 6078 8458 9117 12687 18234 21961 25374 38061 43922 65883 76122 131766 138781 197649 277562 395298 416343 579373 832686 1158746 1249029 1738119 2498058 3008657 3476238 4283977 5214357 6017314 8567954 9025971 10428714 12851931 18051942 22246493 25703862 27077913 38555793 44492986 54155826 66739479 77111586 92873069 133478958 185746138 200218437 278619207 400436874 557238414 586904849 835857621 1173809698 1671715242 1760714547 3047769541 3521429094 5282143641 6095539082 9143308623 10564287282 12723610453 18286617246 25447220906 27429925869 38170831359 54859851738 76341662718 94080418897 114512494077 188160837794 229024988154 282241256691 564482513382 846723770073 1693447540146 12889017388889 25778034777778 38667052166667 77334104333334 116001156500001 232002313000002