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105526332433 is a prime number
BaseRepresentation
bin110001001000111011…
…1000000110000010001
3101002101022102010011201
41202101313000300101
53212104220114213
6120251135311201
710424020011604
oct1422167006021
9332338363151
10105526332433
1140831955495
121855067b501
139c49712c32
145170db033b
152b294ab6dd
hex1891dc0c11

105526332433 has 2 divisors, whose sum is σ = 105526332434. Its totient is φ = 105526332432.

The previous prime is 105526332403. The next prime is 105526332487. The reversal of 105526332433 is 334233625501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92092827024 + 13433505409 = 303468^2 + 115903^2 .

It is a cyclic number.

It is not a de Polignac number, because 105526332433 - 29 = 105526331921 is a prime.

It is a super-4 number, since 4×1055263324334 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105526332392 and 105526332401.

It is not a weakly prime, because it can be changed into another prime (105526332403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52763166216 + 52763166217.

It is an arithmetic number, because the mean of its divisors is an integer number (52763166217).

Almost surely, 2105526332433 is an apocalyptic number.

It is an amenable number.

105526332433 is a deficient number, since it is larger than the sum of its proper divisors (1).

105526332433 is an equidigital number, since it uses as much as digits as its factorization.

105526332433 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 194400, while the sum is 37.

Adding to 105526332433 its reverse (334233625501), we get a palindrome (439759957934).

The spelling of 105526332433 in words is "one hundred five billion, five hundred twenty-six million, three hundred thirty-two thousand, four hundred thirty-three".