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211201011100310 = 257111935940212143
BaseRepresentation
bin110000000001011000010001…
…001111100010101010010110
31000200210121201121010122020212
4300001120101033202222112
5210140304132320202220
62025104223254325422
762325524640620360
oct6001302117425226
91020717647118225
10211201011100310
1161327933849050
121b830207359872
1390b02293278ba
143a2227d677d30
151963c528430c5
hexc016113e2a96

211201011100310 has 128 divisors (see below), whose sum is σ = 500303410790400. Its totient is φ = 62190490331520.

The previous prime is 211201011100237. The next prime is 211201011100361. The reversal of 211201011100310 is 13001110102112.

It is a super-3 number, since 3×2112010111003103 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 14853902 + ... + 25358241.

It is an arithmetic number, because the mean of its divisors is an integer number (3908620396800).

Almost surely, 2211201011100310 is an apocalyptic number.

211201011100310 is an abundant number, since it is smaller than the sum of its proper divisors (289102399690090).

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

211201011100310 is a wasteful number, since it uses less digits than its factorization.

211201011100310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40212546.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 211201011100310 its reverse (13001110102112), we get a palindrome (224202121202422).

The spelling of 211201011100310 in words is "two hundred eleven trillion, two hundred one billion, eleven million, one hundred thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 14 19 22 35 38 55 70 77 95 110 133 154 190 209 266 359 385 418 665 718 770 1045 1330 1463 1795 2090 2513 2926 3590 3949 5026 6821 7315 7898 12565 13642 14630 19745 25130 27643 34105 39490 47747 55286 68210 75031 95494 138215 150062 238735 276430 375155 477470 525217 750310 1050434 2626085 5252170 40212143 80424286 201060715 281485001 402121430 442333573 562970002 764030717 884667146 1407425005 1528061434 2211667865 2814850010 3096335011 3820153585 4423335730 5348215019 6192670022 7640307170 8404337887 10696430038 14436159337 15481675055 16808675774 26741075095 28872318674 30963350110 42021689435 53482150190 58830365209 72180796685 84043378870 101053115359 117660730418 144361593370 158797752707 202106230718 274287027403 294151826045 317595505414 505265576795 548574054806 588303652090 793988763535 1010531153590 1111584268949 1371435137015 1587977527070 1920009191821 2223168537898 2742870274030 3017157301433 3840018383642 5557921344745 6034314602866 9600045959105 11115842689490 15085786507165 19200091918210 21120101110031 30171573014330 42240202220062 105600505550155 211201011100310