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210101330124 = 2232717191256771
BaseRepresentation
bin1100001110101100000…
…0111110000011001100
3202002022022201102102100
43003223000332003030
511420241420030444
6240304052355100
721115335561030
oct3035300760314
9662268642370
10210101330124
11811157a6014
1234876615a90
1316a73cc76aa
14a2518a01c0
1556ea19ae69
hex30eb03e0cc

210101330124 has 144 divisors (see below), whose sum is σ = 646030135296. Its totient is φ = 56201817600.

The previous prime is 210101330123. The next prime is 210101330129. The reversal of 210101330124 is 421033101012.

210101330124 is a `hidden beast` number, since 210 + 1 + 0 + 1 + 330 + 124 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 210101330097 and 210101330106.

It is not an unprimeable number, because it can be changed into a prime (210101330123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689859 + ... + 946629.

It is an arithmetic number, because the mean of its divisors is an integer number (4486320384).

Almost surely, 2210101330124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210101330124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323015067648).

210101330124 is an abundant number, since it is smaller than the sum of its proper divisors (435928805172).

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

210101330124 is a wasteful number, since it uses less digits than its factorization.

210101330124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256996 (or 256991 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 210101330124 its reverse (421033101012), we get a palindrome (631134431136).

It can be divided in two parts, 210101 and 330124, that added together give a square (540225 = 7352).

The spelling of 210101330124 in words is "two hundred ten billion, one hundred one million, three hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 191 204 238 252 306 357 382 476 573 612 714 764 1071 1146 1337 1428 1719 2142 2292 2674 3247 3438 4011 4284 5348 6494 6876 8022 9741 12033 12988 16044 19482 22729 24066 29223 38964 45458 48132 58446 68187 90916 116892 136374 204561 256771 272748 409122 513542 770313 818244 1027084 1540626 1797397 2310939 3081252 3594794 4365107 4621878 5392191 7189588 8730214 9243756 10784382 13095321 16176573 17460428 21568764 26190642 30555749 32353146 39285963 49043261 52381284 61111498 64706292 78571926 91667247 98086522 122222996 147129783 157143852 183334494 196173044 275001741 294259566 343302827 366668988 441389349 550003482 588519132 686605654 833735437 882778698 1029908481 1100006964 1373211308 1667470874 1765557396 2059816962 2501206311 3089725443 3334941748 4119633924 5002412622 5836148059 6179450886 7503618933 10004825244 11672296118 12358901772 15007237866 17508444177 23344592236 30014475732 35016888354 52525332531 70033776708 105050665062 210101330124