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200121221101290 = 23517461909193629
BaseRepresentation
bin101101100000001001011010…
…010010111011011011101010
3222020120101211222112001010120
4231200021122102323123222
5202212241230100220130
61545342230402224110
760103165262552136
oct5540113222733352
9866511758461116
10200121221101290
1158845a2a186995
121a540a00055036
138788472448198
14375bcc11d03c6
15182092b34c910
hexb6025a4bb6ea

200121221101290 has 128 divisors (see below), whose sum is σ = 509707973617920. Its totient is φ = 50111503257600.

The previous prime is 200121221101289. The next prime is 200121221101301. The reversal of 200121221101290 is 92101122121002.

200121221101290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200121221101290.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2137338196 + ... + 2137431824.

It is an arithmetic number, because the mean of its divisors is an integer number (3982093543890).

Almost surely, 2200121221101290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200121221101290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254853986808960).

200121221101290 is an abundant number, since it is smaller than the sum of its proper divisors (309586752516630).

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

200121221101290 is a wasteful number, since it uses less digits than its factorization.

200121221101290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103208.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 200121221101290 its reverse (92101122121002), we get a palindrome (292222343222292).

The spelling of 200121221101290 in words is "two hundred trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 461 510 922 1383 2305 2766 4610 6915 7837 9091 13830 15674 18182 23511 27273 39185 45455 47022 54546 78370 90910 93629 117555 136365 154547 187258 235110 272730 280887 309094 463641 468145 561774 772735 927282 936290 1404435 1545470 1591693 2318205 2808870 3183386 4190951 4636410 4775079 7958465 8381902 9550158 12572853 15916930 20954755 23875395 25145706 41909510 43162969 47750790 62864265 71246167 86325938 125728530 129488907 142492334 213738501 215814845 258977814 356230835 427477002 431629690 647444535 712461670 733770473 851181239 1068692505 1294889070 1467540946 1702362478 2137385010 2201311419 2553543717 3668852365 4255906195 4402622838 5107087434 7337704730 8511812390 11006557095 12767718585 14470081063 22013114190 25535437170 28940162126 43410243189 72350405315 86820486378 144700810630 217051215945 392394551179 434102431890 784789102358 1177183653537 1961972755895 2354367307074 3923945511790 5885918267685 6670707370043 11771836535370 13341414740086 20012122110129 33353536850215 40024244220258 66707073700430 100060610550645 200121221101290