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11110010000110 = 2578323917214649
BaseRepresentation
bin1010000110101100000000…
…1100110001001011101110
31110100002212200212201020221
42201223000030301023232
52424011300030000420
635343511303401554
72224446255563530
oct241530014611356
943302780781227
1011110010000110
1135a380200a27a
1212b523ba532ba
13627891a12888
142a5a27bdd850
15143ee45c9caa
hexa1ac03312ee

11110010000110 has 128 divisors (see below), whose sum is σ = 23245512192000. Its totient is φ = 3744523991040.

The previous prime is 11110010000093. The next prime is 11110010000147. The reversal of 11110010000110 is 1100001001111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 11110010000093 and 11110010000102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2389761066 + ... + 2389765714.

It is an arithmetic number, because the mean of its divisors is an integer number (181605564000).

Almost surely, 211110010000110 is an apocalyptic number.

11110010000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11110010000110 is an abundant number, since it is smaller than the sum of its proper divisors (12135502191890).

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

11110010000110 is a wasteful number, since it uses less digits than its factorization.

11110010000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6706.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11110010000110 its reverse (1100001001111), we get a palindrome (12210011001221).

The spelling of 11110010000110 in words is "eleven trillion, one hundred ten billion, ten million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 70 83 166 239 415 478 581 830 1162 1195 1673 1721 2390 2905 3346 3442 4649 5810 8365 8605 9298 12047 16730 17210 19837 23245 24094 32543 39674 46490 60235 65086 99185 120470 138859 142843 162715 198370 277718 285686 325430 385867 411319 694295 714215 771734 822638 999901 1111111 1388590 1428430 1929335 1999802 2056595 2222222 2701069 2879233 3858670 4113190 4999505 5402138 5555555 5758466 7777777 8000929 9999010 11111110 13505345 14396165 15555554 16001858 27010690 28792330 34139477 38888885 40004645 56006503 68278954 77777770 80009290 92222213 112013006 170697385 184444426 238976339 280032515 341394770 461111065 477952678 560065030 645555491 664077107 922222130 1194881695 1291110982 1328154214 1912222031 2389763390 3227777455 3320385535 3824444062 4648539749 6455554910 6640771070 9297079498 9561110155 13385554217 19122220310 23242698745 26771108434 46485397490 66927771085 133855542170 158714428573 317428857146 793572142865 1111001000011 1587144285730 2222002000022 5555005000055 11110010000110