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11000111011110 = 2335134766679463
BaseRepresentation
bin1010000000010010100110…
…1101011001010100100110
31102221121012122112121221000
42200010221231121110212
52420211211404323420
635221214202534130
72213506001566014
oct240045155312446
942847178477830
1011000111011110
113561136991231
121297a8ab07346
1361a3c94216c0
142a05a01d18b4
151412112d6690
hexa0129b59526

11000111011110 has 128 divisors (see below), whose sum is σ = 32262191861760. Its totient is φ = 2650108537728.

The previous prime is 11000111011103. The next prime is 11000111011193. The reversal of 11000111011110 is 1111011100011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000111011092 and 11000111011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33174762 + ... + 33504701.

It is an arithmetic number, because the mean of its divisors is an integer number (252048373920).

Almost surely, 211000111011110 is an apocalyptic number.

11000111011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11000111011110 is an abundant number, since it is smaller than the sum of its proper divisors (21262080850650).

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

11000111011110 is a wasteful number, since it uses less digits than its factorization.

11000111011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66679539 (or 66679533 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11000111011110 its reverse (1111011100011), we get a palindrome (12111122111121).

The spelling of 11000111011110 in words is "eleven trillion, one hundred eleven million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 47 54 65 78 90 94 117 130 135 141 195 234 235 270 282 351 390 423 470 585 611 702 705 846 1170 1222 1269 1410 1755 1833 2115 2538 3055 3510 3666 4230 5499 6110 6345 9165 10998 12690 16497 18330 27495 32994 54990 82485 164970 66679463 133358926 200038389 333397315 400076778 600115167 666794630 866833019 1000191945 1200230334 1733666038 1800345501 2000383890 2600499057 3000575835 3133934761 3600691002 4334165095 5200998114 6001151670 6267869522 7801497171 8668330190 9001727505 9401804283 13002495285 15602994342 15669673805 18003455010 18803608566 23404491513 26004990570 28205412849 31339347610 39007485855 40741151893 46808983026 47009021415 56410825698 78014971710 81482303786 84616238547 94018042830 117022457565 122223455679 141027064245 169232477094 203705759465 234044915130 244446911358 282054128490 366670367037 407411518930 423081192735 611117278395 733340734074 846162385470 1100011101111 1222234556790 1833351835185 2200022202222 3666703670370 5500055505555 11000111011110