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1101110110110 = 233519211296913
BaseRepresentation
bin10000000001011111010…
…001101110011110011110
310220021011020221012112000
4100001133101232132132
5121020033142010420
62201502031023130
7142360351336113
oct20013721563636
93807136835460
101101110110110
11394a83a5116a
1215949b66aaa6
137caaca8896a
143b418ab890a
151d998182690
hex1005f46e79e

1101110110110 has 96 divisors (see below), whose sum is σ = 3098969448480. Its totient is φ = 278175161088.

The previous prime is 1101110110073. The next prime is 1101110110153. The reversal of 1101110110110 is 110110111011.

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 = 1101110110092 and 1101110110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5550987 + ... + 5745926.

It is an arithmetic number, because the mean of its divisors is an integer number (32280931755).

Almost surely, 21101110110110 is an apocalyptic number.

1101110110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1101110110110 is an abundant number, since it is smaller than the sum of its proper divisors (1997859338370).

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

1101110110110 is a wasteful number, since it uses less digits than its factorization.

1101110110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11296967 (or 11296942 counting only the distinct ones).

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

Adding to 1101110110110 its reverse (110110111011), we get a palindrome (1211220221121).

Subtracting from 1101110110110 its reverse (110110111011), we obtain a palindrome (990999999099).

The spelling of 1101110110110 in words is "one trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 361 513 570 722 855 1026 1083 1710 1805 2166 2565 3249 3610 5130 5415 6498 9747 10830 16245 19494 32490 48735 97470 11296913 22593826 33890739 56484565 67781478 101672217 112969130 169453695 203344434 214641347 305016651 338907390 429282694 508361085 610033302 643924041 1016722170 1073206735 1287848082 1525083255 1931772123 2146413470 3050166510 3219620205 3863544246 4078185593 5795316369 6439240410 8156371186 9658860615 11590632738 12234556779 19317721230 20390927965 24469113558 28976581845 36703670337 40781855930 57953163690 61172783895 73407340674 110111011011 122345567790 183518351685 220222022022 367036703370 550555055055 1101110110110