Search a number
-
+
1101111000011 = 111313823199877
BaseRepresentation
bin10000000001011111010…
…101000111101111001011
310220021011022121102020022
4100001133111013233023
5121020033404000021
62201502102051055
7142360362033431
oct20013725075713
93807138542208
101101111000011
11394a844a9820
1215949ba19a8b
137cab000aa29
143b418c6ad51
151d9982ab1ab
hex1005f547bcb

1101111000011 has 16 divisors (see below), whose sum is σ = 1210704219648. Its totient is φ = 993103893600.

The previous prime is 1101111000001. The next prime is 1101111000109. The reversal of 1101111000011 is 1100001111011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1101111000011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101111000001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5409005 + ... + 5608881.

It is an arithmetic number, because the mean of its divisors is an integer number (75669013728).

Almost surely, 21101111000011 is an apocalyptic number.

1101111000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101111000011 is a deficient number, since it is larger than the sum of its proper divisors (109593219637).

1101111000011 is a wasteful number, since it uses less digits than its factorization.

1101111000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203842.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1101111000011 its reverse (1100001111011), we get a palindrome (2201112111022).

It can be divided in two parts, 11011 and 11000011, that multiplied together give a palindrome (121121121121).

The spelling of 1101111000011 in words is "one trillion, one hundred one billion, one hundred eleven million, eleven", and thus it is an aban number.

Divisors: 1 11 131 1441 3823 42053 199877 500813 2198647 5508943 26183887 288022757 764129771 8405427481 100101000001 1101111000011