Search a number
-
+
111000011001 = 31123314436209
BaseRepresentation
bin110011101100000011…
…1011100000011111001
3101121111210002210120120
41213120013130003321
53304312000323001
6122554231243453
711006453345265
oct1473007340371
9347453083516
10111000011001
1143090681190
1219619819589
13a60c73c0a9
14552dd350a5
152d49ccc236
hex19d81dc0f9

111000011001 has 16 divisors (see below), whose sum is σ = 162147510720. Its totient is φ = 66984005120.

The previous prime is 111000010951. The next prime is 111000011011. The reversal of 111000011001 is 100110000111.

It is a cyclic number.

It is not a de Polignac number, because 111000011001 - 215 = 110999978233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111000011011) 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, 7210416 + ... + 7225793.

It is an arithmetic number, because the mean of its divisors is an integer number (10134219420).

Almost surely, 2111000011001 is an apocalyptic number.

111000011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111000011001 is a deficient number, since it is larger than the sum of its proper divisors (51147499719).

111000011001 is a wasteful number, since it uses less digits than its factorization.

111000011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14436456.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 111000011001 its reverse (100110000111), we get a palindrome (211110011112).

The spelling of 111000011001 in words is "one hundred eleven billion, eleven thousand, one".

Divisors: 1 3 11 33 233 699 2563 7689 14436209 43308627 158798299 476394897 3363636697 10090910091 37000003667 111000011001