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200202212011100 = 225213199887819799
BaseRepresentation
bin101101100001010100110101…
…101110101110110001011100
3222020212010220101012112211212
4231201110311232232301130
5202220103112233323400
61545443343154403552
760112063306124465
oct5541246556566134
9866763811175755
10200202212011100
11588773104681a2
121a5546438905b8
138792cab956760
143761ba57cbd6c
151822abb804335
hexb61535baec5c

200202212011100 has 144 divisors (see below), whose sum is σ = 492531642624000. Its totient is φ = 70023078961920.

The previous prime is 200202212011057. The next prime is 200202212011133. The reversal of 200202212011100 is 1110212202002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243799001 + ... + 244618799.

Almost surely, 2200202212011100 is an apocalyptic number.

200202212011100 is a gapful number since it is divisible by the number (20) 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 200202212011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246265821312000).

200202212011100 is an abundant number, since it is smaller than the sum of its proper divisors (292329430612900).

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

200202212011100 is a wasteful number, since it uses less digits than its factorization.

200202212011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829732 (or 829725 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200202212011100 its reverse (1110212202002), we get a palindrome (201312424213102).

The spelling of 200202212011100 in words is "two hundred trillion, two hundred two billion, two hundred twelve million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4940 6175 9887 12350 19774 24700 39548 49435 98870 128531 187853 197740 247175 257062 375706 494350 514124 642655 751412 819799 939265 988700 1285310 1639598 1878530 2442089 2570620 3213275 3279196 3757060 4098995 4696325 4884178 6426550 8197990 9392650 9768356 10657387 12210445 12853100 15576181 16395980 18785300 20494975 21314774 24420890 31152362 40989950 42629548 48841780 53286935 61052225 62304724 77880905 81979900 106573870 122104450 155761810 202490353 213147740 244208900 266434675 311523620 389404525 404980706 532869350 778809050 809961412 1012451765 1065738700 1557618100 2024903530 4049807060 5062258825 8105352713 10124517650 16210705426 20249035300 32421410852 40526763565 81053527130 105369585269 154001701547 162107054260 202633817825 210739170538 308003403094 405267635650 421478341076 526847926345 616006806188 770008507735 810535271300 1053695852690 1540017015470 2002022120111 2107391705380 2634239631725 3080034030940 3850042538675 4004044240222 5268479263450 7700085077350 8008088480444 10010110600555 10536958526900 15400170154700 20020221201110 40040442402220 50050553002775 100101106005550 200202212011100