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211130314230 = 23511322723293
BaseRepresentation
bin1100010010100001011…
…0001110110111110110
3202011222000221020020210
43010220112032313312
511424343330023410
6240554131210250
721153002026503
oct3045026166766
9664860836223
10211130314230
11815a3616000
1234b03146986
1316ba9242324
14a30c3d44aa
15575a6a5220
hex312858edf6

211130314230 has 128 divisors (see below), whose sum is σ = 559825261056. Its totient is φ = 50955442560.

The previous prime is 211130314211. The next prime is 211130314231. The reversal of 211130314230 is 32413031112.

It is a junction number, because it is equal to n+sod(n) for n = 211130314197 and 211130314206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211130314231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9052464 + ... + 9075756.

It is an arithmetic number, because the mean of its divisors is an integer number (4373634852).

Almost surely, 2211130314230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211130314230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279912630528).

211130314230 is an abundant number, since it is smaller than the sum of its proper divisors (348694946826).

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

211130314230 is a wasteful number, since it uses less digits than its factorization.

211130314230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23563 (or 23541 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211130314230 its reverse (32413031112), we get a palindrome (243543345342).

The spelling of 211130314230 in words is "two hundred eleven billion, one hundred thirty million, three hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 227 242 330 363 454 605 681 726 1135 1210 1331 1362 1815 2270 2497 2662 3405 3630 3993 4994 6655 6810 7491 7986 12485 13310 14982 19965 23293 24970 27467 37455 39930 46586 54934 69879 74910 82401 116465 137335 139758 164802 232930 256223 274670 302137 349395 412005 512446 604274 698790 768669 824010 906411 1281115 1510685 1537338 1812822 2562230 2818453 3021370 3843345 4532055 5287511 5636906 7686690 8455359 9064110 10575022 14092265 15862533 16910718 26437555 28184530 31002983 31725066 42276795 52875110 58162621 62005966 79312665 84553590 93008949 116325242 155014915 158625330 174487863 186017898 290813105 310029830 348975726 465044745 581626210 639788831 872439315 930089490 1279577662 1744878630 1919366493 3198944155 3838732986 6397888310 7037677141 9596832465 14075354282 19193664930 21113031423 35188385705 42226062846 70376771410 105565157115 211130314230