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211210203320032 = 25719355913943933
BaseRepresentation
bin110000000001100000110101…
…001001000100111011100000
31000200211111110012220210011011
4300001200311021010323200
5210140431444022220112
62025112343343430304
762326301506322650
oct6001406511047340
91020744405823134
10211210203320032
1161330820598854
121b831b518b5394
1390b1062869a77
143a228b2408360
1519640de83daa7
hexc01835244ee0

211210203320032 has 96 divisors (see below), whose sum is σ = 500375282803200. Its totient is φ = 85730417376768.

The previous prime is 211210203319987. The next prime is 211210203320041. The reversal of 211210203320032 is 230023302012112.

It is a junction number, because it is equal to n+sod(n) for n = 211210203319985 and 211210203320012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8175138 + ... + 22119070.

It is an arithmetic number, because the mean of its divisors is an integer number (5212242529200).

Almost surely, 2211210203320032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211210203320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250187641401600).

211210203320032 is an abundant number, since it is smaller than the sum of its proper divisors (289165079483168).

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

211210203320032 is a wasteful number, since it uses less digits than its factorization.

211210203320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13947528 (or 13947520 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 211210203320032 its reverse (230023302012112), we get a palindrome (441233505332144).

The spelling of 211210203320032 in words is "two hundred eleven trillion, two hundred ten billion, two hundred three million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 3559 4256 7118 14236 24913 28472 49826 56944 67621 99652 113888 135242 199304 270484 398608 473347 540968 797216 946694 1081936 1893388 2163872 3786776 7573552 13943933 15147104 27887866 55775732 97607531 111551464 195215062 223102928 264934727 390430124 446205856 529869454 780860248 1059738908 1561720496 1854543089 2119477816 3123440992 3709086178 4238955632 7418172356 8477911264 14836344712 29672689424 49626457547 59345378848 99252915094 198505830188 347385202829 397011660376 694770405658 794023320752 942902693393 1389540811316 1588046641504 1885805386786 2779081622632 3771610773572 5558163245264 6600318853751 7543221547144 11116326490528 13200637707502 15086443094288 26401275415004 30172886188576 52802550830008 105605101660016 211210203320032