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210221010200112 = 243232914944067943
BaseRepresentation
bin101111110011000111100100…
…101000110010011000110000
31000120022221011122112202011220
4233303013210220302120300
5210023230112102400422
62023034110542105040
762164652414455632
oct5763074450623060
91016287148482156
10210221010200112
1160a8a25889790a
121b6b22a6b7b180
13903b9aa4b0032
1439caa73360a52
1519484e6c1ae5c
hexbf31e4a32630

210221010200112 has 160 divisors (see below), whose sum is σ = 590157906048000. Its totient is φ = 64281378180096.

The previous prime is 210221010200059. The next prime is 210221010200129. The reversal of 210221010200112 is 211002010122012.

It is a junction number, because it is equal to n+sod(n) for n = 210221010200091 and 210221010200100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17263588 + ... + 26804355.

It is an arithmetic number, because the mean of its divisors is an integer number (3688486912800).

Almost surely, 2210221010200112 is an apocalyptic number.

It is an amenable number.

210221010200112 is an abundant number, since it is smaller than the sum of its proper divisors (379936895847888).

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

210221010200112 is a wasteful number, since it uses less digits than its factorization.

210221010200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44068155 (or 44068149 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210221010200112 its reverse (211002010122012), we get a palindrome (421223020322124).

The spelling of 210221010200112 in words is "two hundred ten trillion, two hundred twenty-one billion, ten million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 138 149 174 184 232 276 298 348 368 447 464 552 596 667 696 894 1104 1192 1334 1392 1788 2001 2384 2668 3427 3576 4002 4321 5336 6854 7152 8004 8642 10281 10672 12963 13708 16008 17284 20562 25926 27416 32016 34568 41124 51852 54832 69136 82248 99383 103704 164496 198766 207408 298149 397532 596298 795064 1192596 1590128 2385192 4770384 44067943 88135886 132203829 176271772 264407658 352543544 528815316 705087088 1013562689 1057630632 1277970347 2027125378 2115261264 2555940694 3040688067 3833911041 4054250756 5111881388 6081376134 6566123507 7667822082 8108501512 10223762776 12162752268 13132247014 15335644164 16217003024 19698370521 20447525552 24325504536 26264494028 29393317981 30671288328 39396741042 48651009072 52528988056 58786635962 61342576656 78793482084 88179953943 105057976112 117573271924 151020840661 157586964168 176359907886 190417581703 235146543848 302041681322 315173928336 352719815772 380835163406 453062521983 470293087696 571252745109 604083362644 705439631544 761670326812 906125043966 1142505490218 1208166725288 1410879263088 1523340653624 1812250087932 2285010980436 2416333450576 3046681307248 3624500175864 4379604379169 4570021960872 7249000351728 8759208758338 9140043921744 13138813137507 17518417516676 26277626275014 35036835033352 52555252550028 70073670066704 105110505100056 210221010200112