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10110110101110 = 2325862713021277
BaseRepresentation
bin1001001100011111000110…
…0001010110111001110110
31022210111221221210221112100
42103013301201112321312
52311121001141213420
633300304230402530
72062300644640245
oct223076141267166
938714857727470
1010110110101110
113248745644788
1211734a7500446
135844c13c47c6
1426d490bb295c
15127ec1a38190
hex931f1856e76

10110110101110 has 48 divisors (see below), whose sum is σ = 26289335260656. Its totient is φ = 2695716642624.

The previous prime is 10110110101103. The next prime is 10110110101121. The reversal of 10110110101110 is 1110101101101.

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 = 10110110101092 and 10110110101101.

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 23 ways as a sum of consecutive naturals, for example, 5734209 + ... + 7287068.

It is an arithmetic number, because the mean of its divisors is an integer number (547694484597).

Almost surely, 210110110101110 is an apocalyptic number.

10110110101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10110110101110 is an abundant number, since it is smaller than the sum of its proper divisors (16179225159546).

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

10110110101110 is a wasteful number, since it uses less digits than its factorization.

10110110101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13029917 (or 13029914 counting only the distinct ones).

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

Adding to 10110110101110 its reverse (1110101101101), we get a palindrome (11220211202211).

Subtracting from 10110110101110 its reverse (1110101101101), we obtain a palindrome (9000009000009).

The spelling of 10110110101110 in words is "ten trillion, one hundred ten billion, one hundred ten million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 8627 17254 25881 43135 51762 77643 86270 129405 155286 258810 388215 776430 13021277 26042554 39063831 65106385 78127662 117191493 130212770 195319155 234382986 390638310 585957465 1171914930 112334556679 224669113358 337003670037 561672783395 674007340074 1011011010111 1123345566790 1685018350185 2022022020222 3370036700370 5055055050555 10110110101110