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126055078117 is a prime number
BaseRepresentation
bin111010101100101110…
…1111101100011100101
3110001100222212110010221
41311121131331203211
54031130044444432
6133524153444341
712051522325243
oct1653135754345
9401328773127
10126055078117
1149506894a11
122051b7106b1
13bb6b7c8a27
14615b5b1793
15342b86cb97
hex1d5977d8e5

126055078117 has 2 divisors, whose sum is σ = 126055078118. Its totient is φ = 126055078116.

The previous prime is 126055078007. The next prime is 126055078241. The reversal of 126055078117 is 711870550621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70569391201 + 55485686916 = 265649^2 + 235554^2 .

It is an emirp because it is prime and its reverse (711870550621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126055078117 - 219 = 126054553829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126055070117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63027539058 + 63027539059.

It is an arithmetic number, because the mean of its divisors is an integer number (63027539059).

Almost surely, 2126055078117 is an apocalyptic number.

It is an amenable number.

126055078117 is a deficient number, since it is larger than the sum of its proper divisors (1).

126055078117 is an equidigital number, since it uses as much as digits as its factorization.

126055078117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 117600, while the sum is 43.

The spelling of 126055078117 in words is "one hundred twenty-six billion, fifty-five million, seventy-eight thousand, one hundred seventeen".