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212201202110200 = 235237246711623769
BaseRepresentation
bin110000001111111011110001…
…010001011100111011111000
31000211100020101121222101001021
4300033323301101130323320
5210303201030220011300
62031151515251032224
762461013415131512
oct6017736121347370
91024306347871037
10212201202110200
116168302a576556
121b97202129b674
139153645050734
143a58843202bb2
15197ec90c39d1a
hexc0fef145cef8

212201202110200 has 96 divisors (see below), whose sum is σ = 506907495241200. Its totient is φ = 82552930237440.

The previous prime is 212201202110173. The next prime is 212201202110207. The reversal of 212201202110200 is 2011202102212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201202110207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12443916 + ... + 24067684.

Almost surely, 2212201202110200 is an apocalyptic number.

212201202110200 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 212201202110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253453747620600).

212201202110200 is an abundant number, since it is smaller than the sum of its proper divisors (294706293131000).

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

212201202110200 is a wasteful number, since it uses less digits than its factorization.

212201202110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11626289 (or 11626280 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212201202110200 its reverse (2011202102212), we get a palindrome (214212404212412).

The spelling of 212201202110200 in words is "two hundred twelve trillion, two hundred one billion, two hundred two million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 2467 3700 4934 7400 9868 12335 19736 24670 49340 61675 91279 98680 123350 182558 246700 365116 456395 493400 730232 912790 1825580 2281975 3651160 4563950 9127900 11623769 18255800 23247538 46495076 58118845 92990152 116237690 232475380 290594225 430079453 464950760 581188450 860158906 1162376900 1720317812 2150397265 2324753800 3440635624 4300794530 8601589060 10751986325 17203178120 21503972650 28675838123 43007945300 57351676246 86015890600 114703352492 143379190615 229406704984 286758381230 573516762460 716895953075 1061006010551 1147033524920 1433791906150 2122012021102 2867583812300 4244024042204 5305030052755 5735167624600 8488048084408 10610060105510 21220120211020 26525150263775 42440240422040 53050300527550 106100601055100 212201202110200