Search a number
-
+
110001011100001 = 783349635415167
BaseRepresentation
bin11001000000101110011011…
…001100010000100101100001
3112102110222211121002222120021
4121000232123030100211201
5103404224032320200001
61025541433351113441
732112211412651140
oct3100563314204541
9472428747088507
10110001011100001
113206019205562a
1210406b24072881
13494c0878c6a98
141d2411233b757
15cab5a3387ba1
hex640b9b310961

110001011100001 has 16 divisors (see below), whose sum is σ = 127233747615744. Its totient is φ = 93147916576464.

The previous prime is 110001011099999. The next prime is 110001011100023. The reversal of 110001011100001 is 100001110100011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110001011100001 - 21 = 110001011099999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (110001011100091) 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, 17605920 + ... + 23021086.

It is an arithmetic number, because the mean of its divisors is an integer number (7952109225984).

Almost surely, 2110001011100001 is an apocalyptic number.

It is an amenable number.

110001011100001 is a deficient number, since it is larger than the sum of its proper divisors (17232736515743).

110001011100001 is an equidigital number, since it uses as much as digits as its factorization.

110001011100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450220.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110001011100001 its reverse (100001110100011), we get a palindrome (210002121200012).

The spelling of 110001011100001 in words is "one hundred ten trillion, one billion, eleven million, one hundred thousand, one".

Divisors: 1 7 83 581 34963 244741 2901929 5415167 20313503 37906169 449458861 3146212027 189330483821 1325313386747 15714430157143 110001011100001