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211010110311312 = 243213138407814403
BaseRepresentation
bin101111111110100110011110…
…101010110100101110010000
31000200010100222101121202200100
4233332212132222310232100
5210124142201214430222
62024440412332052400
762305656145652334
oct5776463652645620
91020110871552610
10211010110311312
1161263981280844
121b7bb20b004100
1390982251b4360
143a16d2dc357c4
15195dccd1464ac
hexbfe99eab4b90

211010110311312 has 120 divisors (see below), whose sum is σ = 635966402670144. Its totient is φ = 64925638970112.

The previous prime is 211010110311239. The next prime is 211010110311337. The reversal of 211010110311312 is 213113011010112.

211010110311312 is a `hidden beast` number, since 21 + 1 + 0 + 10 + 1 + 10 + 311 + 312 = 666.

It is a super-2 number, since 2×2110101103113122 (a number of 29 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 23 ways as a sum of consecutive naturals, for example, 258690703 + ... + 259505105.

Almost surely, 2211010110311312 is an apocalyptic number.

It is an amenable number.

211010110311312 is an abundant number, since it is smaller than the sum of its proper divisors (424956292358832).

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

211010110311312 is a wasteful number, since it uses less digits than its factorization.

211010110311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952837 (or 952828 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 211010110311312 its reverse (213113011010112), we get a palindrome (424123121321424).

The spelling of 211010110311312 in words is "two hundred eleven trillion, ten billion, one hundred ten million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 138407 276814 415221 553628 814403 830442 1107256 1245663 1628806 1660884 1799291 2214512 2443209 2491326 3257612 3321768 3598582 4886418 4982652 5397873 6515224 6643536 7197164 7329627 9772836 9965304 10587239 10795746 13030448 14394328 14659254 16193619 19545672 19930608 21174478 21591492 28788656 29318508 31761717 32387238 39091344 42348956 43182984 58637016 63523434 64774476 84697912 86365968 95285151 117274032 127046868 129548952 169395824 190570302 254093736 259097904 381140604 508187472 762281208 1524562416 112719076021 225438152042 338157228063 450876304084 676314456126 901752608168 1014471684189 1352628912252 1465347988273 1803505216336 2028943368378 2705257824504 2930695976546 4057886736756 4396043964819 5410515649008 5861391953092 8115773473512 8792087929638 11722783906184 13188131894457 16231546947024 17584175859276 23445567812368 26376263788914 35168351718552 52752527577828 70336703437104 105505055155656 211010110311312