Search a number
-
+
11100000011001 = 3112291430373721
BaseRepresentation
bin1010000110000110101110…
…0011101100001011111001
31110022011001002022120122120
42201201223203230023321
52423330300000323001
635335134122511453
72223643230226026
oct241415343541371
943264032276576
1011100000011001
11359a5356a2300
1212b3307665589
13626957c387b5
142a53585da54d
15143b0a8e7236
hexa186b8ec2f9

11100000011001 has 48 divisors (see below), whose sum is σ = 16830131028480. Its totient is φ = 6494755590400.

The previous prime is 11100000010997. The next prime is 11100000011011. The reversal of 11100000011001 is 10011000000111.

11100000011001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11100000011001 - 22 = 11100000010997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11100000011011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150530821 + ... + 150604541.

It is an arithmetic number, because the mean of its divisors is an integer number (350627729760).

Almost surely, 211100000011001 is an apocalyptic number.

11100000011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11100000011001 is a deficient number, since it is larger than the sum of its proper divisors (5730131017479).

11100000011001 is a wasteful number, since it uses less digits than its factorization.

11100000011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88078 (or 88067 counting only the distinct ones).

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

Adding to 11100000011001 its reverse (10011000000111), we get a palindrome (21111000011112).

The spelling of 11100000011001 in words is "eleven trillion, one hundred billion, eleven thousand, one".

Divisors: 1 3 11 29 33 87 121 319 363 957 3509 10527 14303 42909 73721 157333 221163 414787 471999 810931 1244361 1730663 2137909 2432793 4562657 5191989 6413727 8920241 13687971 23516999 26760723 50189227 70550997 150567681 258686989 776060967 1054431463 3163294389 11598746093 30578512427 34796238279 91735537281 127586207023 336363636697 382758621069 1009090910091 3700000003667 11100000011001