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12401400029 is a prime number
BaseRepresentation
bin10111000110010111…
…00101100011011101
31012000021102101200012
423203023211203131
5200344224300104
65410325013005
7616214106134
oct134313454335
935007371605
1012401400029
1152942a3437
1224a1254165
131228376435
1485906891b
154c8b0dd6e
hex2e32e58dd

12401400029 has 2 divisors, whose sum is σ = 12401400030. Its totient is φ = 12401400028.

The previous prime is 12401399999. The next prime is 12401400031. The reversal of 12401400029 is 92000410421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7270972900 + 5130427129 = 85270^2 + 71627^2 .

It is a cyclic number.

It is not a de Polignac number, because 12401400029 - 224 = 12384622813 is a prime.

Together with 12401400031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12401399977 and 12401400013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12401400059) 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, 6200700014 + 6200700015.

It is an arithmetic number, because the mean of its divisors is an integer number (6200700015).

Almost surely, 212401400029 is an apocalyptic number.

It is an amenable number.

12401400029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12401400029 is an equidigital number, since it uses as much as digits as its factorization.

12401400029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 12401400029 in words is "twelve billion, four hundred one million, four hundred thousand, twenty-nine".