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211430331324 = 22352294192267
BaseRepresentation
bin1100010011101000111…
…0101101001110111100
3202012201221110200100000
43010322032231032330
511431002131100244
6241044005434300
721163304110062
oct3047216551674
9665657420300
10211430331324
1181737a01313
1234b8770b990
1316c26447b34
14a33a1b0032
155776bb9169
hex313a3ad3bc

211430331324 has 144 divisors (see below), whose sum is σ = 558238262400. Its totient is φ = 69970671936.

The previous prime is 211430331313. The next prime is 211430331331. The reversal of 211430331324 is 423133034112.

It is a happy number.

211430331324 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 3 + 0 + 331 + 324 = 666.

It is a super-3 number, since 3×2114303313243 (a number of 35 digits) contains 333 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93263239 + ... + 93265505.

It is an arithmetic number, because the mean of its divisors is an integer number (3876654600).

Almost surely, 2211430331324 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 211430331324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279119131200).

211430331324 is an abundant number, since it is smaller than the sum of its proper divisors (346807931076).

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

211430331324 is a wasteful number, since it uses less digits than its factorization.

211430331324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 211430331324 its reverse (423133034112), we get a palindrome (634563365436).

The spelling of 211430331324 in words is "two hundred eleven billion, four hundred thirty million, three hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 229 243 324 419 458 486 687 838 916 972 1257 1374 1676 2061 2267 2514 2748 3771 4122 4534 5028 6183 6801 7542 8244 9068 11313 12366 13602 15084 18549 20403 22626 24732 27204 33939 37098 40806 45252 55647 61209 67878 74196 81612 95951 101817 111294 122418 135756 183627 191902 203634 222588 244836 287853 367254 383804 407268 519143 550881 575706 734508 863559 949873 1038286 1101762 1151412 1557429 1727118 1899746 2076572 2203524 2590677 2849619 3114858 3454236 3799492 4672287 5181354 5699238 6229716 7772031 8548857 9344574 10362708 11398476 14016861 15544062 17097714 18689148 23316093 25646571 28033722 31088124 34195428 42050583 46632186 51293142 56067444 76939713 84101166 93264372 102586284 126151749 153879426 168202332 217520917 230819139 252303498 307758852 435041834 461638278 504606996 652562751 870083668 923276556 1305125502 1957688253 2610251004 3915376506 5873064759 7830753012 11746129518 17619194277 23492259036 35238388554 52857582831 70476777108 105715165662 211430331324