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212320223102232 = 233271922172120207
BaseRepresentation
bin110000010001101010100111…
…011110100000010100011000
31000211202121121101222020002100
4300101222213132200110120
5210312123304103232412
62031322321452003400
762502426025643340
oct6021524736402430
91024677541866070
10212320223102232
1161719556845483
121b9910b9160560
13916193246a73b
143a604d4503d20
151982e09ca8edc
hexc11aa77a0518

212320223102232 has 96 divisors (see below), whose sum is σ = 691770150489600. Its totient is φ = 57470135573952.

The previous prime is 212320223102177. The next prime is 212320223102233. The reversal of 212320223102232 is 232201322023212.

212320223102232 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 202 + 231 + 0 + 223 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212320223102196 and 212320223102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212320223102233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11086050528 + ... + 11086069679.

It is an arithmetic number, because the mean of its divisors is an integer number (7205939067600).

Almost surely, 2212320223102232 is an apocalyptic number.

It is an amenable number.

212320223102232 is an abundant number, since it is smaller than the sum of its proper divisors (479449927387368).

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

212320223102232 is a wasteful number, since it uses less digits than its factorization.

212320223102232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22172120245 (or 22172120238 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 212320223102232 its reverse (232201322023212), we get a palindrome (444521545125444).

The spelling of 212320223102232 in words is "two hundred twelve trillion, three hundred twenty billion, two hundred twenty-three million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 22172120207 44344240414 66516360621 88688480828 133032721242 155204841449 177376961656 199549081863 266065442484 310409682898 399098163726 421270283933 465614524347 532130884968 620819365796 798196327452 842540567866 931229048694 1241638731592 1263810851799 1396843573041 1596392654904 1685081135732 1862458097388 2527621703598 2793687146082 2948891987531 3370162271464 3724916194776 3791432555397 5055243407196 5587374292164 5897783975062 7582865110794 8846675962593 10110486814392 11174748584328 11795567950124 15165730221588 17693351925186 23591135900248 26540027887779 30331460443176 35386703850372 53080055775558 70773407700744 106160111551116 212320223102232