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110001677085 = 3252938342941
BaseRepresentation
bin110011001110010011…
…1000110001100011101
3101111221012120011220100
41212130213012030131
53300240412131320
6122311205411313
710642641553626
oct1463447061435
9344835504810
10110001677085
1142719096133
121939b409b39
13a4b0966371
1454774dca4d
152cdc329790
hex199c9c631d

110001677085 has 24 divisors (see below), whose sum is σ = 191320345944. Its totient is φ = 58467323520.

The previous prime is 110001677081. The next prime is 110001677087. The reversal of 110001677085 is 580776100011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14175521721 + 95826155364 = 119061^2 + 309558^2 .

It is not a de Polignac number, because 110001677085 - 22 = 110001677081 is a prime.

It is a super-2 number, since 2×1100016770852 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001677081) 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 23 ways as a sum of consecutive naturals, for example, 4158286 + ... + 4184655.

It is an arithmetic number, because the mean of its divisors is an integer number (7971681081).

Almost surely, 2110001677085 is an apocalyptic number.

110001677085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

110001677085 is a deficient number, since it is larger than the sum of its proper divisors (81318668859).

110001677085 is a wasteful number, since it uses less digits than its factorization.

110001677085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8343245 (or 8343242 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

Adding to 110001677085 its reverse (580776100011), we get a palindrome (690777777096).

The spelling of 110001677085 in words is "one hundred ten billion, one million, six hundred seventy-seven thousand, eighty-five".

Divisors: 1 3 5 9 15 45 293 879 1465 2637 4395 13185 8342941 25028823 41714705 75086469 125144115 375432345 2444481713 7333445139 12222408565 22000335417 36667225695 110001677085