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110112200000137 is a prime number
BaseRepresentation
bin11001000010010101111110…
…100100010000001010001001
3112102212121211112122100022201
4121002111332210100022021
5103413034241200001022
61030104502451120201
732123225652006556
oct3102257644201211
9472777745570281
10110112200000137
11320a335a30aa35
1210424594ba3061
1349596c74cca9a
141d2965d3a1a2d
15cae40ea27127
hex64257e910289

110112200000137 has 2 divisors, whose sum is σ = 110112200000138. Its totient is φ = 110112200000136.

The previous prime is 110112200000111. The next prime is 110112200000149. The reversal of 110112200000137 is 731000002211011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61947225870336 + 48164974129801 = 7870656^2 + 6940099^2 .

It is a cyclic number.

It is not a de Polignac number, because 110112200000137 - 219 = 110112199475849 is a prime.

It is not a weakly prime, because it can be changed into another prime (110112200000177) 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, 55056100000068 + 55056100000069.

It is an arithmetic number, because the mean of its divisors is an integer number (55056100000069).

Almost surely, 2110112200000137 is an apocalyptic number.

It is an amenable number.

110112200000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

110112200000137 is an equidigital number, since it uses as much as digits as its factorization.

110112200000137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 110112200000137 its reverse (731000002211011), we get a palindrome (841112202211148).

The spelling of 110112200000137 in words is "one hundred ten trillion, one hundred twelve billion, two hundred million, one hundred thirty-seven", and thus it is an aban number.