Search a number
-
+
11112210212120 = 235231031091075843
BaseRepresentation
bin1010000110110100001101…
…0101111010010100011000
31110100022120000222001201122
42201231003111322110120
52424030301303241440
635344513501504412
72224554633225023
oct241550325722430
943308500861648
1011112210212120
1135a4730a74106
1212b5754872108
13627b527b9884
142a5b960d41ba
151440c28397b5
hexa1b4357a518

11112210212120 has 128 divisors (see below), whose sum is σ = 26584535577600. Its totient is φ = 4171719366144.

The previous prime is 11112210212099. The next prime is 11112210212149. The reversal of 11112210212120 is 2121201221111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9790919 + ... + 10866761.

It is an arithmetic number, because the mean of its divisors is an integer number (207691684200).

Almost surely, 211112210212120 is an apocalyptic number.

11112210212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112210212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13292267788800).

11112210212120 is an abundant number, since it is smaller than the sum of its proper divisors (15472325365480).

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

11112210212120 is a wasteful number, since it uses less digits than its factorization.

11112210212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076089 (or 1076085 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11112210212120 its reverse (2121201221111), we get a palindrome (13233411433231).

The spelling of 11112210212120 in words is "eleven trillion, one hundred twelve billion, two hundred ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 103 109 115 184 206 218 230 412 436 460 515 545 824 872 920 1030 1090 2060 2180 2369 2507 4120 4360 4738 5014 9476 10028 11227 11845 12535 18952 20056 22454 23690 25070 44908 47380 50140 56135 89816 94760 100280 112270 224540 258221 449080 516442 1032884 1075843 1291105 2065768 2151686 2582210 4303372 5164420 5379215 8606744 10328840 10758430 21516860 24744389 43033720 49488778 98977556 110811829 117266887 123721945 197955112 221623658 234533774 247443890 443247316 469067548 494887780 554059145 586334435 886494632 938135096 989775560 1108118290 1172668870 2216236580 2345337740 2548672067 2697138401 4432473160 4690675480 5097344134 5394276802 10194688268 10788553604 12078489361 12743360335 13485692005 20389376536 21577107208 24156978722 25486720670 26971384010 48313957444 50973441340 53942768020 60392446805 96627914888 101946882680 107885536040 120784893610 241569787220 277805255303 483139574440 555610510606 1111221021212 1389026276515 2222442042424 2778052553030 5556105106060 11112210212120