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110200021112105 = 5172730910434121
BaseRepresentation
bin11001000011100111110001…
…000111001101010100101001
3112110012000111221120001222022
4121003213301013031110221
5103421004120401041410
61030213105114234225
732132455153104101
oct3103476107152451
9473160457501868
10110200021112105
1132127626011211
1210439604125975
134964a81aa2cb2
141d2d9d0b5a201
15cb184e957455
hex6439f11cd529

110200021112105 has 24 divisors (see below), whose sum is σ = 140495661412440. Its totient is φ = 82962773268480.

The previous prime is 110200021112047. The next prime is 110200021112329. The reversal of 110200021112105 is 501211120002011.

It can be written as a sum of positive squares in 12 ways, for example, as 9698814661264 + 100501206450841 = 3114292^2 + 10025029^2 .

It is a de Polignac number, because none of the positive numbers 2k-110200021112105 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 5344445 + ... + 15778565.

It is an arithmetic number, because the mean of its divisors is an integer number (5853985892185).

Almost surely, 2110200021112105 is an apocalyptic number.

It is an amenable number.

110200021112105 is a deficient number, since it is larger than the sum of its proper divisors (30295640300335).

110200021112105 is a wasteful number, since it uses less digits than its factorization.

110200021112105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10441469 (or 10441452 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 110200021112105 its reverse (501211120002011), we get a palindrome (611411141114116).

The spelling of 110200021112105 in words is "one hundred ten trillion, two hundred billion, twenty-one million, one hundred twelve thousand, one hundred five".

Divisors: 1 5 17 85 289 1445 7309 36545 124253 621265 2112301 10434121 10561505 52170605 177380057 886900285 3015460969 15077304845 76262990389 381314951945 1296470836613 6482354183065 22040004222421 110200021112105