Search a number
-
+
12110000001121 = 111100909091011
BaseRepresentation
bin1011000000111001010000…
…1111111001000001100001
31120212201000201111010201001
42300032110033321001201
53041402240000013441
641431131315512001
72356630042416151
oct260162417710141
946781021433631
1012110000001121
113949905325840
121436bba5b8601
1369ac77bba149
142dc1acba2761
15160020018731
hexb03943f9061

12110000001121 has 4 divisors (see below), whose sum is σ = 13210909092144. Its totient is φ = 11009090910100.

The previous prime is 12110000001119. The next prime is 12110000001149.

12110000001121 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 12110000001121 - 21 = 12110000001119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12110000001098 and 12110000001107.

It is not an unprimeable number, because it can be changed into a prime (12110000001101) 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 3 ways as a sum of consecutive naturals, for example, 550454545495 + ... + 550454545516.

It is an arithmetic number, because the mean of its divisors is an integer number (3302727273036).

Almost surely, 212110000001121 is an apocalyptic number.

12110000001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12110000001121 is a deficient number, since it is larger than the sum of its proper divisors (1100909091023).

12110000001121 is a wasteful number, since it uses less digits than its factorization.

12110000001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100909091022.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 1211000000 and 1121, that added together give a palindrome (1211001121).

The spelling of 12110000001121 in words is "twelve trillion, one hundred ten billion, one thousand, one hundred twenty-one".

Divisors: 1 11 1100909091011 12110000001121