Base | Representation |
---|---|
bin | 10000000000011101110… |
… | …001011000001011000111 |
3 | 10220011022122222021022101 |
4 | 100000131301120023013 |
5 | 121010310321023421 |
6 | 2201201011412531 |
7 | 142321205112313 |
oct | 20003561301307 |
9 | 3804278867271 |
10 | 1100011111111 |
11 | 39456a65aa30 |
12 | 1592335b4147 |
13 | 7c9661987b3 |
14 | 3b352b5ab43 |
15 | 1d931948191 |
hex | 1001dc582c7 |
1100011111111 has 32 divisors (see below), whose sum is σ = 1233074658816. Its totient is φ = 972861120000.
The previous prime is 1100011111097. The next prime is 1100011111123. The reversal of 1100011111111 is 1111111100011.
It is a happy number.
It is not a de Polignac number, because 1100011111111 - 29 = 1100011110599 is a prime.
1100011111111 is a modest number, since divided by 1111111 gives 110001 as remainder.
It is a zygodrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1100011181111) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55543411 + ... + 55563211.
It is an arithmetic number, because the mean of its divisors is an integer number (38533583088).
Almost surely, 21100011111111 is an apocalyptic number.
1100011111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
1100011111111 is a deficient number, since it is larger than the sum of its proper divisors (133063547705).
1100011111111 is a wasteful number, since it uses less digits than its factorization.
1100011111111 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20823.
The product of its (nonzero) digits is 1, while the sum is 10.
Adding to 1100011111111 its reverse (1111111100011), we get a palindrome (2211122211122).
It can be divided in two parts, 1100011 and 111111, that multiplied together give a palindrome (122223322221).
The spelling of 1100011111111 in words is "one trillion, one hundred billion, eleven million, one hundred eleven thousand, one hundred eleven".
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