Search a number
-
+
12000111021 = 321333345669
BaseRepresentation
bin10110010110100001…
…10010100110101101
31010222022022210122100
423023100302212231
5144034012023041
65302432005313
7603242155263
oct131320624655
933868283570
1012000111021
1150a8828028
1223aa990839
1311931a3212
1481ba4a433
154a37936b6
hex2cb4329ad

12000111021 has 6 divisors (see below), whose sum is σ = 17333493710. Its totient is φ = 8000074008.

The previous prime is 12000110971. The next prime is 12000111037. The reversal of 12000111021 is 12011100021.

It is a happy number.

12000111021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10446884100 + 1553226921 = 102210^2 + 39411^2 .

It is not a de Polignac number, because 12000111021 - 210 = 12000109997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1333345669 = 12000111021 / (1 + 2 + 0 + 0 + 0 + 1 + 1 + 1 + 0 + 2 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12000110994 and 12000111012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000111061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666672826 + ... + 666672843.

Almost surely, 212000111021 is an apocalyptic number.

It is an amenable number.

12000111021 is a deficient number, since it is larger than the sum of its proper divisors (5333382689).

12000111021 is a wasteful number, since it uses less digits than its factorization.

12000111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333345675 (or 1333345672 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000111021 its reverse (12011100021), we get a palindrome (24011211042).

The spelling of 12000111021 in words is "twelve billion, one hundred eleven thousand, twenty-one".

Divisors: 1 3 9 1333345669 4000037007 12000111021