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1105106055013 is a prime number
BaseRepresentation
bin10000000101001101011…
…101000010111101100101
310220122110202000020102101
4100011031131002331211
5121101224122230023
62203402334012101
7142561362323212
oct20051535027545
93818422006371
101105106055013
11396744615774
1215a215947031
13802988ba6bc
143b6b7694b09
151db2dda61ad
hex1014d742f65

1105106055013 has 2 divisors, whose sum is σ = 1105106055014. Its totient is φ = 1105106055012.

The previous prime is 1105106054999. The next prime is 1105106055089. The reversal of 1105106055013 is 3105506015011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 588400987329 + 516705067684 = 767073^2 + 718822^2 .

It is a cyclic number.

It is not a de Polignac number, because 1105106055013 - 29 = 1105106054501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1105106065013) 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, 552553027506 + 552553027507.

It is an arithmetic number, because the mean of its divisors is an integer number (552553027507).

Almost surely, 21105106055013 is an apocalyptic number.

It is an amenable number.

1105106055013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1105106055013 is an equidigital number, since it uses as much as digits as its factorization.

1105106055013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2250, while the sum is 28.

The spelling of 1105106055013 in words is "one trillion, one hundred five billion, one hundred six million, fifty-five thousand, thirteen".