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126312049729 is a prime number
BaseRepresentation
bin111010110100011001…
…0001110110001000001
3110002000220101221221001
41311220302032301001
54032141341042404
6134005453332001
712061062464515
oct1655062166101
9402026357831
10126312049729
114962894a548
1220591797001
13bbacb0c738
146183784145
1534441cc7a4
hex1d68c8ec41

126312049729 has 2 divisors, whose sum is σ = 126312049730. Its totient is φ = 126312049728.

The previous prime is 126312049667. The next prime is 126312049739. The reversal of 126312049729 is 927940213621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80387559729 + 45924490000 = 283527^2 + 214300^2 .

It is a cyclic number.

It is not a de Polignac number, because 126312049729 - 219 = 126311525441 is a prime.

It is not a weakly prime, because it can be changed into another prime (126312049739) 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, 63156024864 + 63156024865.

It is an arithmetic number, because the mean of its divisors is an integer number (63156024865).

Almost surely, 2126312049729 is an apocalyptic number.

It is an amenable number.

126312049729 is a deficient number, since it is larger than the sum of its proper divisors (1).

126312049729 is an equidigital number, since it uses as much as digits as its factorization.

126312049729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 126312049729 in words is "one hundred twenty-six billion, three hundred twelve million, forty-nine thousand, seven hundred twenty-nine".