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12142404101 is a prime number
BaseRepresentation
bin10110100111011111…
…00110001000000101
31011100020002001001102
423103233212020011
5144331423412401
65324513505445
7606620506022
oct132357461005
934306061042
1012142404101
115171085a13
12242a572285
1311b68041c9
148328ca549
154b0eee56b
hex2d3be6205

12142404101 has 2 divisors, whose sum is σ = 12142404102. Its totient is φ = 12142404100.

The previous prime is 12142404091. The next prime is 12142404103. The reversal of 12142404101 is 10140424121.

12142404101 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., 10578122500 + 1564281601 = 102850^2 + 39551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12142404101 is a prime.

Together with 12142404103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12142404103) 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, 6071202050 + 6071202051.

It is an arithmetic number, because the mean of its divisors is an integer number (6071202051).

Almost surely, 212142404101 is an apocalyptic number.

It is an amenable number.

12142404101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12142404101 is an equidigital number, since it uses as much as digits as its factorization.

12142404101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12142404101 its reverse (10140424121), we get a palindrome (22282828222).

The spelling of 12142404101 in words is "twelve billion, one hundred forty-two million, four hundred four thousand, one hundred one".