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211343001340240 = 245711311110318099
BaseRepresentation
bin110000000011011100100000…
…100001010100100101010000
31000201022012020010211011221001
4300003130200201110211100
5210200120431320341430
62025253345014111344
762342012410011430
oct6003344041244520
91021265203734831
10211343001340240
1161382077612980
121b85383364b554
1390c0737327653
143a290ad3402c0
1519677b314a3ca
hexc03720854950

211343001340240 has 160 divisors (see below), whose sum is σ = 614590078003200. Its totient is φ = 65661331929600.

The previous prime is 211343001340231. The next prime is 211343001340241. The reversal of 211343001340240 is 42043100343112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 211343001340199 and 211343001340208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211343001340241) 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, 53243290 + ... + 57074809.

It is an arithmetic number, because the mean of its divisors is an integer number (3841187987520).

Almost surely, 2211343001340240 is an apocalyptic number.

211343001340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211343001340240 is an abundant number, since it is smaller than the sum of its proper divisors (403247076662960).

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

211343001340240 is a wasteful number, since it uses less digits than its factorization.

211343001340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110318441 (or 110318435 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 211343001340240 its reverse (42043100343112), we get a palindrome (253386101683352).

The spelling of 211343001340240 in words is "two hundred eleven trillion, three hundred forty-three billion, one million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 311 385 440 560 616 622 770 880 1232 1244 1540 1555 2177 2488 3080 3110 3421 4354 4976 6160 6220 6842 8708 10885 12440 13684 17105 17416 21770 23947 24880 27368 34210 34832 43540 47894 54736 68420 87080 95788 119735 136840 174160 191576 239470 273680 383152 478940 957880 1915760 110318099 220636198 441272396 551590495 772226693 882544792 1103180990 1213499089 1544453386 1765089584 2206361980 2426998178 3088906772 3861133465 4412723960 4853996356 6067495445 6177813544 7722266930 8494493623 8825447920 9707992712 12134990890 12355627088 15444533860 16988987246 19415985424 24269981780 30889067720 33977974492 34308928789 42472468115 48539963560 61778135440 67955948984 68617857578 84944936230 97079927120 135911897968 137235715156 169889872460 171544643945 240162501523 274471430312 339779744920 343089287890 377398216679 480325003046 548942860624 679559489840 686178575780 754796433358 960650006092 1200812507615 1372357151560 1509592866716 1886991083395 1921300012184 2401625015230 2641787516753 2744714303120 3019185733432 3773982166790 3842600024368 4803250030460 5283575033506 6038371466864 7547964333580 9606500060920 10567150067012 13208937583765 15095928667160 19213000121840 21134300134024 26417875167530 30191857334320 42268600268048 52835750335060 105671500670120 211343001340240