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12404144101 is a prime number
BaseRepresentation
bin10111000110101100…
…00011011111100101
31012000110120210211111
423203112003133211
5200400430102401
65410503505021
7616246325266
oct134326033745
935013523744
1012404144101
1152958a8068
1224a2158171
131228ac744b
1485958096d
154c8ea1e51
hex2e35837e5

12404144101 has 2 divisors, whose sum is σ = 12404144102. Its totient is φ = 12404144100.

The previous prime is 12404144089. The next prime is 12404144147. The reversal of 12404144101 is 10144140421.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11834176225 + 569967876 = 108785^2 + 23874^2 .

It is a cyclic number.

It is not a de Polignac number, because 12404144101 - 221 = 12402046949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12404144801) 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 as a sum of consecutive naturals, namely, 6202072050 + 6202072051.

It is an arithmetic number, because the mean of its divisors is an integer number (6202072051).

Almost surely, 212404144101 is an apocalyptic number.

It is an amenable number.

12404144101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12404144101 is an equidigital number, since it uses as much as digits as its factorization.

12404144101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 12404144101 its reverse (10144140421), we get a palindrome (22548284522).

The spelling of 12404144101 in words is "twelve billion, four hundred four million, one hundred forty-four thousand, one hundred one".