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126035056009 is a prime number
BaseRepresentation
bin111010101100001000…
…1100101010110001001
3110001022121012012222101
41311120101211112021
54031104433243014
6133522200353401
712051160204612
oct1653021452611
9401277165871
10126035056009
11494a655a015
1220514a75861
13bb67608525
146158a7cc09
153429c15474
hex1d58465589

126035056009 has 2 divisors, whose sum is σ = 126035056010. Its totient is φ = 126035056008.

The previous prime is 126035055961. The next prime is 126035056031. The reversal of 126035056009 is 900650530621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82169942409 + 43865113600 = 286653^2 + 209440^2 .

It is a cyclic number.

It is not a de Polignac number, because 126035056009 - 217 = 126034924937 is a prime.

It is not a weakly prime, because it can be changed into another prime (126035066009) 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, 63017528004 + 63017528005.

It is an arithmetic number, because the mean of its divisors is an integer number (63017528005).

Almost surely, 2126035056009 is an apocalyptic number.

It is an amenable number.

126035056009 is a deficient number, since it is larger than the sum of its proper divisors (1).

126035056009 is an equidigital number, since it uses as much as digits as its factorization.

126035056009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 126035056009 in words is "one hundred twenty-six billion, thirty-five million, fifty-six thousand, nine".