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12404312357 is a prime number
BaseRepresentation
bin10111000110101101…
…01100100100100101
31012000110220100122012
423203112230210211
5200401000443412
65410511244005
7616250625653
oct134326544445
935013810565
1012404312357
115295a02518
1224a2219605
131228b55bc8
148595c5dd3
154c8ed6c22
hex2e35ac925

12404312357 has 2 divisors, whose sum is σ = 12404312358. Its totient is φ = 12404312356.

The previous prime is 12404312329. The next prime is 12404312359. The reversal of 12404312357 is 75321340421.

12404312357 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., 8706942721 + 3697369636 = 93311^2 + 60806^2 .

It is a cyclic number.

It is not a de Polignac number, because 12404312357 - 210 = 12404311333 is a prime.

Together with 12404312359, 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 (12404312359) 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, 6202156178 + 6202156179.

It is an arithmetic number, because the mean of its divisors is an integer number (6202156179).

Almost surely, 212404312357 is an apocalyptic number.

It is an amenable number.

12404312357 is a deficient number, since it is larger than the sum of its proper divisors (1).

12404312357 is an equidigital number, since it uses as much as digits as its factorization.

12404312357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 12404312357 its reverse (75321340421), we get a palindrome (87725652778).

The spelling of 12404312357 in words is "twelve billion, four hundred four million, three hundred twelve thousand, three hundred fifty-seven".