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211443424110 = 233535310632087
BaseRepresentation
bin1100010011101100000…
…0101001101101101110
3202012202212002212021000
43010323000221231232
511431014004032420
6241045154221130
721163523310342
oct3047300515556
9665685085230
10211443424110
11817443340a6
1234b8bb847a6
1316c29080349
14a33bc1b622
155777e03690
hex313b029b6e

211443424110 has 128 divisors (see below), whose sum is σ = 566249564160. Its totient is φ = 56145374208.

The previous prime is 211443424103. The next prime is 211443424139. The reversal of 211443424110 is 11424344112.

211443424110 is a `hidden beast` number, since 2 + 114 + 434 + 2 + 4 + 110 = 666.

211443424110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2114434241102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101313487 + ... + 101315573.

It is an arithmetic number, because the mean of its divisors is an integer number (4423824720).

Almost surely, 2211443424110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211443424110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283124782080).

211443424110 is an abundant number, since it is smaller than the sum of its proper divisors (354806140050).

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

211443424110 is a wasteful number, since it uses less digits than its factorization.

211443424110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 211443424110 its reverse (11424344112), we get a palindrome (222867768222).

The spelling of 211443424110 in words is "two hundred eleven billion, four hundred forty-three million, four hundred twenty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 353 706 1059 1063 1765 2087 2118 2126 3177 3189 3530 4174 5295 5315 6261 6354 6378 9531 9567 10435 10590 10630 12522 15885 15945 18783 19062 19134 20870 28701 31305 31770 31890 37566 47655 47835 56349 57402 62610 93915 95310 95670 112698 143505 187830 281745 287010 375239 563490 736711 750478 1125717 1473422 1876195 2210133 2218481 2251434 3377151 3683555 3752390 4420266 4436962 5628585 6630399 6655443 6754302 7367110 10131453 11050665 11092405 11257170 13260798 13310886 16885755 19891197 19966329 20262906 22101330 22184810 33151995 33277215 33771510 39782394 39932658 50657265 59898987 66303990 66554430 99455985 99831645 101314530 119797974 198911970 199663290 299494935 598989870 783123793 1566247586 2349371379 3915618965 4698742758 7048114137 7831237930 11746856895 14096228274 21144342411 23493713790 35240570685 42288684822 70481141370 105721712055 211443424110