Search a number
-
+
210321329328 = 243311291526191
BaseRepresentation
bin1100001111100000100…
…0001100110010110000
3202002212122200112121000
43003320020030302300
511421214230014303
6240341552002000
721123646542105
oct3037010146260
9662778615530
10210321329328
11812189a8740
1234918230300
1316aaa764936
14a272baaaac
15570e655da3
hex30f820ccb0

210321329328 has 160 divisors (see below), whose sum is σ = 681292108800. Its totient is φ = 61535980800.

The previous prime is 210321329321. The next prime is 210321329389. The reversal of 210321329328 is 823923123012.

It is a happy number.

210321329328 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 2 + 1 + 329 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 210321329292 and 210321329301.

It is not an unprimeable number, because it can be changed into a prime (210321329321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625288 + ... + 900903.

It is an arithmetic number, because the mean of its divisors is an integer number (4258075680).

Almost surely, 2210321329328 is an apocalyptic number.

It is an amenable number.

210321329328 is an abundant number, since it is smaller than the sum of its proper divisors (470970779472).

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

210321329328 is a wasteful number, since it uses less digits than its factorization.

210321329328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526248 (or 1526236 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 210321329328 in words is "two hundred ten billion, three hundred twenty-one million, three hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 87 88 99 108 116 132 144 174 176 198 216 232 261 264 297 319 348 396 432 464 522 528 594 638 696 783 792 957 1044 1188 1276 1392 1566 1584 1914 2088 2376 2552 2871 3132 3828 4176 4752 5104 5742 6264 7656 8613 11484 12528 15312 17226 22968 34452 45936 68904 137808 1526191 3052382 4578573 6104764 9157146 12209528 13735719 16788101 18314292 24419056 27471438 33576202 36628584 41207157 44259539 50364303 54942876 67152404 73257168 82414314 88519078 100728606 109885752 132778617 134304808 151092909 164828628 177038156 201457212 219771504 265557234 268609616 302185818 329657256 354076312 398335851 402914424 453278727 486854929 531114468 604371636 659314512 708152624 796671702 805828848 906557454 973709858 1062228936 1195007553 1208743272 1460564787 1593343404 1813114908 1947419716 2124457872 2390015106 2417486544 2921129574 3186686808 3626229816 3894839432 4381694361 4780030212 5842259148 6373373616 7252459632 7789678864 8763388722 9560060424 11684518296 13145083083 17526777444 19120120848 23369036592 26290166166 35053554888 52580332332 70107109776 105160664664 210321329328