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213444342410130 = 233513436071394509
BaseRepresentation
bin110000100010000001100010…
…001101010110101110010010
31000222202002011012202210012000
4300202001202031112232102
5210434033003124111010
62033542551030014430
762646562532260656
oct6042014215265622
91028662135683160
10213444342410130
1162012267898487
121bb32b3a4a7416
13921393b185c20
143a9ca92dc2a66
1519a229ce667c0
hexc22062356b92

213444342410130 has 128 divisors (see below), whose sum is σ = 612982864166400. Its totient is φ = 52538903292672.

The previous prime is 213444342410119. The next prime is 213444342410267. The reversal of 213444342410130 is 31014243444312.

213444342410130 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 443 + 42 + 41 + 0 + 130 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152363316 + ... + 153757824.

It is an arithmetic number, because the mean of its divisors is an integer number (4788928626300).

Almost surely, 2213444342410130 is an apocalyptic number.

213444342410130 is an abundant number, since it is smaller than the sum of its proper divisors (399538521756270).

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

213444342410130 is a wasteful number, since it uses less digits than its factorization.

213444342410130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438145 (or 1438139 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 213444342410130 its reverse (31014243444312), we get a palindrome (244458585854442).

The spelling of 213444342410130 in words is "two hundred thirteen trillion, four hundred forty-four billion, three hundred forty-two million, four hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 43607 87214 130821 218035 261642 392463 436070 566891 654105 784926 1133782 1177389 1308210 1394509 1700673 1962315 2354778 2789018 2834455 3401346 3924630 4183527 5102019 5668910 5886945 6972545 8367054 8503365 10204038 11773890 12550581 13945090 15306057 17006730 18128617 20917635 25101162 25510095 30612114 36257234 37651743 41835270 51020190 54385851 62752905 75303486 76530285 90643085 108771702 125505810 153060570 163157553 181286170 188258715 271929255 326315106 376517430 489472659 543858510 815787765 978945318 1631575530 2447363295 4894726590 60810353963 121620707926 182431061889 304051769815 364862123778 547293185667 608103539630 790534601519 912155309445 1094586371334 1581069203038 1641879557001 1824310618890 2371603804557 2736465928335 3283759114002 3952673007595 4743207609114 5472931856670 7114811413671 7905346015190 8209397785005 11858019022785 14229622827342 16418795570010 21344434241013 23716038045570 35574057068355 42688868482026 71148114136710 106722171205065 213444342410130