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213103131012 = 22342926984313
BaseRepresentation
bin1100011001110111101…
…1111011100110000100
3202101001112010201010000
43012131323323212010
511442413400143022
6241522003401300
721252615504102
oct3063573734604
9671045121100
10213103131012
11824161864a2
1235373983230
1317131b8c835
14a458414c72
1558239986ac
hex319defb984

213103131012 has 120 divisors (see below), whose sum is σ = 578453059800. Its totient is φ = 68329142784.

The previous prime is 213103130987. The next prime is 213103131023. The reversal of 213103131012 is 210131301312.

213103131012 is a `hidden beast` number, since 2 + 1 + 310 + 31 + 310 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33366136896 + 179736994116 = 182664^2 + 423954^2 .

It is a super-2 number, since 2×2131031310122 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2485368 + ... + 2569680.

It is an arithmetic number, because the mean of its divisors is an integer number (4820442165).

Almost surely, 2213103131012 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 213103131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289226529900).

213103131012 is an abundant number, since it is smaller than the sum of its proper divisors (365349928788).

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

213103131012 is a wasteful number, since it uses less digits than its factorization.

213103131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84627 (or 84616 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213103131012 its reverse (210131301312), we get a palindrome (423234432324).

The spelling of 213103131012 in words is "two hundred thirteen billion, one hundred three million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 269 324 348 522 538 783 807 1044 1076 1566 1614 2349 2421 3132 3228 4698 4842 7263 7801 9396 9684 14526 15602 21789 23403 29052 31204 43578 46806 70209 84313 87156 93612 140418 168626 210627 252939 280836 337252 421254 505878 631881 758817 842508 1011756 1263762 1517634 2276451 2445077 2527524 3035268 4552902 4890154 6829353 7335231 9105804 9780308 13658706 14670462 22005693 22680197 27317412 29340924 44011386 45360394 66017079 68040591 88022772 90720788 132034158 136081182 198051237 204121773 264068316 272162364 396102474 408243546 612365319 657725713 792204948 816487092 1224730638 1315451426 1837095957 1973177139 2449461276 2630902852 3674191914 3946354278 5919531417 7348383828 7892708556 11839062834 17758594251 23678125668 35517188502 53275782753 71034377004 106551565506 213103131012