Search a number
-
+
231312320310 = 2354147285133
BaseRepresentation
bin1101011101101101001…
…0011110011100110110
3211010001112221100220110
43113123102132130312
512242211423222220
6254132521443450
722466064165411
oct3273322363466
9733045840813
10231312320310
118a10a857975
12389b6040586
1318a74543c66
14b2a4936b78
15603c3c3be0
hex35db49e736

231312320310 has 96 divisors (see below), whose sum is σ = 581053852512. Its totient is φ = 58897722880.

The previous prime is 231312320273. The next prime is 231312320329. The reversal of 231312320310 is 13023213132.

It is a super-2 number, since 2×2313123203102 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2674504 + ... + 2759636.

It is an arithmetic number, because the mean of its divisors is an integer number (6052644297).

Almost surely, 2231312320310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231312320310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290526926256).

231312320310 is an abundant number, since it is smaller than the sum of its proper divisors (349741532202).

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

231312320310 is a wasteful number, since it uses less digits than its factorization.

231312320310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85278 (or 85231 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 231312320310 its reverse (13023213132), we get a palindrome (244335533442).

The spelling of 231312320310 in words is "two hundred thirty-one billion, three hundred twelve million, three hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 47 82 94 123 141 205 235 246 282 410 470 615 705 1230 1410 1927 2209 3854 4418 5781 6627 9635 11045 11562 13254 19270 22090 28905 33135 57810 66270 85133 90569 170266 181138 255399 271707 425665 452845 510798 543414 851330 905690 1276995 1358535 2553990 2717070 3490453 4001251 6980906 8002502 10471359 12003753 17452265 20006255 20942718 24007506 34904530 40012510 52356795 60018765 104713590 120037530 164051291 188058797 328102582 376117594 492153873 564176391 820256455 940293985 984307746 1128352782 1640512910 1880587970 2460769365 2820881955 4921538730 5641763910 7710410677 15420821354 23131232031 38552053385 46262464062 77104106770 115656160155 231312320310