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12020100041 is a prime number
BaseRepresentation
bin10110011000111010…
…00010101111001001
31011000200221100102102
423030131002233021
5144104121200131
65304424243145
7603604110305
oct131435025711
934020840372
1012020100041
115109040084
1223b56104b5
131197381641
14820570d05
154a53e11cb
hex2cc742bc9

12020100041 has 2 divisors, whose sum is σ = 12020100042. Its totient is φ = 12020100040.

The previous prime is 12020100007. The next prime is 12020100067. The reversal of 12020100041 is 14000102021.

12020100041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9520100041 + 2500000000 = 97571^2 + 50000^2 .

It is a cyclic number.

It is not a de Polignac number, because 12020100041 - 230 = 10946358217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12020099995 and 12020100031.

It is not a weakly prime, because it can be changed into another prime (12020100091) 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 as a sum of consecutive naturals, namely, 6010050020 + 6010050021.

It is an arithmetic number, because the mean of its divisors is an integer number (6010050021).

Almost surely, 212020100041 is an apocalyptic number.

It is an amenable number.

12020100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12020100041 is an equidigital number, since it uses as much as digits as its factorization.

12020100041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12020100041 its reverse (14000102021), we get a palindrome (26020202062).

The spelling of 12020100041 in words is "twelve billion, twenty million, one hundred thousand, forty-one".