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105555424441 is a prime number
BaseRepresentation
bin110001001001110010…
…1111111010010111001
3101002110100011010220111
41202103211333102321
53212134142040231
6120254055024321
710424522206135
oct1422345772271
9332410133814
10105555424441
1140847315775
121855a36b0a1
139c5275a83c
145174bc43c5
152b2bd064b1
hex189397f4b9

105555424441 has 2 divisors, whose sum is σ = 105555424442. Its totient is φ = 105555424440.

The previous prime is 105555424439. The next prime is 105555424453. The reversal of 105555424441 is 144424555501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62300160000 + 43255264441 = 249600^2 + 207979^2 .

It is a cyclic number.

It is not a de Polignac number, because 105555424441 - 21 = 105555424439 is a prime.

It is a super-2 number, since 2×1055554244412 (a number of 23 digits) contains 22 as substring.

Together with 105555424439, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105555424394 and 105555424403.

It is not a weakly prime, because it can be changed into another prime (105555434441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52777712220 + 52777712221.

It is an arithmetic number, because the mean of its divisors is an integer number (52777712221).

Almost surely, 2105555424441 is an apocalyptic number.

It is an amenable number.

105555424441 is a deficient number, since it is larger than the sum of its proper divisors (1).

105555424441 is an equidigital number, since it uses as much as digits as its factorization.

105555424441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320000, while the sum is 40.

Adding to 105555424441 its reverse (144424555501), we get a palindrome (249979979942).

The spelling of 105555424441 in words is "one hundred five billion, five hundred fifty-five million, four hundred twenty-four thousand, four hundred forty-one".