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105500550049 is a prime number
BaseRepresentation
bin110001001000001010…
…0101010001110100001
3101002022111220020101121
41202100110222032201
53212031120100144
6120244414532241
710423254610366
oct1422024521641
9332274806347
10105500550049
1140819345834
1218543b07081
139c4428689b
14516b7bc46d
152b270b7384
hex189052a3a1

105500550049 has 2 divisors, whose sum is σ = 105500550050. Its totient is φ = 105500550048.

The previous prime is 105500550047. The next prime is 105500550083. The reversal of 105500550049 is 940055005501.

It is an a-pointer prime, because the next prime (105500550083) can be obtained adding 105500550049 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55116013824 + 50384536225 = 234768^2 + 224465^2 .

It is a cyclic number.

It is not a de Polignac number, because 105500550049 - 21 = 105500550047 is a prime.

It is a super-2 number, since 2×1055005500492 (a number of 23 digits) contains 22 as substring.

Together with 105500550047, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105500549996 and 105500550023.

It is not a weakly prime, because it can be changed into another prime (105500550047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52750275024 + 52750275025.

It is an arithmetic number, because the mean of its divisors is an integer number (52750275025).

Almost surely, 2105500550049 is an apocalyptic number.

It is an amenable number.

105500550049 is a deficient number, since it is larger than the sum of its proper divisors (1).

105500550049 is an equidigital number, since it uses as much as digits as its factorization.

105500550049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 105500550049 in words is "one hundred five billion, five hundred million, five hundred fifty thousand, forty-nine".