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214202324323110 = 235411131989177479
BaseRepresentation
bin110000101101000011011101…
…011100111000101100100110
31001002102112122021110112201110
4300231003131130320230212
5211033442330011314420
62035323104521005450
763055415165236404
oct6055033534705446
91032375567415643
10214202324323110
1162284771923522
1220035a19023886
13926a266c421c6
143ac763ab34474
1519b6d624d9ee0
hexc2d0dd738b26

214202324323110 has 128 divisors (see below), whose sum is σ = 531318209909760. Its totient is φ = 55230781132800.

The previous prime is 214202324323081. The next prime is 214202324323111. The reversal of 214202324323110 is 11323423202412.

It is a happy number.

214202324323110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214202324323111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2764611351 + ... + 2764688829.

It is an arithmetic number, because the mean of its divisors is an integer number (4150923514920).

Almost surely, 2214202324323110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214202324323110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265659104954880).

214202324323110 is an abundant number, since it is smaller than the sum of its proper divisors (317115885586650).

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

214202324323110 is a wasteful number, since it uses less digits than its factorization.

214202324323110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97534.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 214202324323110 its reverse (11323423202412), we get a palindrome (225525747525522).

The spelling of 214202324323110 in words is "two hundred fourteen trillion, two hundred two billion, three hundred twenty-four million, three hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 113 123 205 226 246 339 410 565 615 678 1130 1230 1695 3390 4633 9266 13899 19891 23165 27798 39782 46330 59673 69495 77479 99455 119346 138990 154958 198910 232437 298365 387395 464874 596730 774790 815531 1162185 1631062 2247683 2324370 2446593 3176639 4077655 4495366 4893186 6353278 6743049 8155310 8755127 9529917 11238415 12232965 13486098 15883195 17510254 19059834 22476830 24465930 26265381 31766390 33715245 43775635 47649585 52530762 67430490 87551270 92155003 95299170 131326905 184310006 262653810 276465009 358960207 460775015 552930018 717920414 921550030 1076880621 1382325045 1541134789 1794801035 2153761242 2764650090 3082269578 3589602070 4623404367 5384403105 7705673945 9246808734 10768806210 15411347890 23117021835 46234043670 63186526349 126373052698 174148231157 189559579047 315932631745 348296462314 379119158094 522444693471 631865263490 870741155785 947797895235 1044889386942 1741482311570 1895595790470 2612223467355 5224446934710 7140077477437 14280154954874 21420232432311 35700387387185 42840464864622 71400774774370 107101162161555 214202324323110