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10131421429 is a prime number
BaseRepresentation
bin10010110111110000…
…10011100011110101
3222011002001112102201
421123320103203311
5131222120441204
64353155304501
7506031442543
oct113370234365
928132045381
1010131421429
114329a17968
121b68bab131
13c55cb2c2c
146c17b2d93
153e46bc9a4
hex25be138f5

10131421429 has 2 divisors, whose sum is σ = 10131421430. Its totient is φ = 10131421428.

The previous prime is 10131421427. The next prime is 10131421463. The reversal of 10131421429 is 92412413101.

10131421429 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7223300100 + 2908121329 = 84990^2 + 53927^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131421429 - 21 = 10131421427 is a prime.

Together with 10131421427, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10131421397 and 10131421406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131421427) 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, 5065710714 + 5065710715.

It is an arithmetic number, because the mean of its divisors is an integer number (5065710715).

Almost surely, 210131421429 is an apocalyptic number.

It is an amenable number.

10131421429 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131421429 is an equidigital number, since it uses as much as digits as its factorization.

10131421429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 10131421429 in words is "ten billion, one hundred thirty-one million, four hundred twenty-one thousand, four hundred twenty-nine".