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110110112309 = 479746152391
BaseRepresentation
bin110011010001100010…
…0101111101000110101
3101112012202121021001202
41212203010233220311
53301001142043214
6122330041502245
710645426340411
oct1464304575065
9345182537052
10110110112309
114277431911a
121940b7a1985
13a4ca271412
145487a87d41
152ce6ae86de
hex19a312fa35

110110112309 has 16 divisors (see below), whose sum is σ = 113860809216. Its totient is φ = 106422950400.

The previous prime is 110110112303. The next prime is 110110112401. The reversal of 110110112309 is 903211011011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110110112309 - 232 = 105815145013 is a prime.

It is a super-2 number, since 2×1101101123092 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110112303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2075504 + ... + 2127894.

It is an arithmetic number, because the mean of its divisors is an integer number (7116300576).

Almost surely, 2110110112309 is an apocalyptic number.

It is an amenable number.

110110112309 is a deficient number, since it is larger than the sum of its proper divisors (3750696907).

110110112309 is an equidigital number, since it uses as much as digits as its factorization.

110110112309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52996.

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 110110112309 in words is "one hundred ten billion, one hundred ten million, one hundred twelve thousand, three hundred nine".

Divisors: 1 47 97 461 4559 21667 44717 52391 2101699 2462377 5081927 24152251 238850569 1135155797 2342768347 110110112309