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211012212010008 = 233611801304126317
BaseRepresentation
bin101111111110101000011011…
…111100001010110000011000
31000200010120101212100010021210
4233332220123330022300120
5210124211002233310013
62024441401050503120
762306062216052643
oct5776503374126030
91020116355303253
10211012212010008
116126485a66a112
121b7bb6b6a34aa0
13909849b748456
143a1708d004a5a
15195dda28e6cc3
hexbfea1bf0ac18

211012212010008 has 128 divisors (see below), whose sum is σ = 536673089384640. Its totient is φ = 69120552960000.

The previous prime is 211012212010003. The next prime is 211012212010009. The reversal of 211012212010008 is 800010212210112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211012212010003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8018082066 + ... + 8018108382.

Almost surely, 2211012212010008 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 211012212010008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268336544692320).

211012212010008 is an abundant number, since it is smaller than the sum of its proper divisors (325660877374632).

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

211012212010008 is a wasteful number, since it uses less digits than its factorization.

211012212010008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31229 (or 31225 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The spelling of 211012212010008 in words is "two hundred eleven trillion, twelve billion, two hundred twelve million, ten thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 1801 3041 3602 5403 6082 7204 9123 10806 12164 14408 18246 21612 24328 26317 36492 43224 52634 72984 78951 105268 109861 157902 185501 210536 219722 315804 329583 371002 439444 556503 631608 659166 742004 878888 1113006 1318332 1484008 1605337 2226012 2636664 3210674 4452024 4816011 5476841 6421348 9632022 10953682 12842696 16430523 19264044 21907364 32861046 38528088 43814728 47396917 65722092 80029997 94793834 131444184 142190751 160059994 189587668 240089991 284381502 320119988 334087301 379175336 480179982 568763004 640239976 668174602 960359964 1002261903 1137526008 1336349204 1920719928 2004523806 2672698408 2891211937 4009047612 4881829817 5782423874 8018095224 8673635811 9763659634 11564847748 14645489451 17347271622 19527319268 23129695496 29290978902 34694543244 39054638536 58581957804 69389086488 117163915608 144134024597 288268049194 432402073791 576536098388 864804147582 1153072196776 1729608295164 3459216590328 8792175500417 17584351000834 26376526501251 35168702001668 52753053002502 70337404003336 105506106005004 211012212010008