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105383116781 is a prime number
BaseRepresentation
bin110001000100101010…
…0101011111111101101
3101002000022221000020022
41202021110223333231
53211311034214111
6120225021531525
710420330466345
oct1421124537755
9332008830208
10105383116781
1140769027448
1218510713ba5
139c25b4b047
145159d6dd25
152b1bb1c2db
hex188952bfed

105383116781 has 2 divisors, whose sum is σ = 105383116782. Its totient is φ = 105383116780.

The previous prime is 105383116759. The next prime is 105383116823. The reversal of 105383116781 is 187611383501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64663912681 + 40719204100 = 254291^2 + 201790^2 .

It is a cyclic number.

It is not a de Polignac number, because 105383116781 - 26 = 105383116717 is a prime.

It is a super-2 number, since 2×1053831167812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105383116721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52691558390 + 52691558391.

It is an arithmetic number, because the mean of its divisors is an integer number (52691558391).

Almost surely, 2105383116781 is an apocalyptic number.

It is an amenable number.

105383116781 is a deficient number, since it is larger than the sum of its proper divisors (1).

105383116781 is an equidigital number, since it uses as much as digits as its factorization.

105383116781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 105383116781 in words is "one hundred five billion, three hundred eighty-three million, one hundred sixteen thousand, seven hundred eighty-one".