Search a number
-
+
105235132441 is a prime number
BaseRepresentation
bin110001000000010000…
…0001011000000011001
3101001122000110121212211
41202000200023000121
53211010143214231
6120202214035121
710413552603205
oct1420040130031
9331560417784
10105235132441
11406a254163a
121848b048aa1
139c012a674a
14514444bb05
152b0db39eb1
hex188080b019

105235132441 has 2 divisors, whose sum is σ = 105235132442. Its totient is φ = 105235132440.

The previous prime is 105235132433. The next prime is 105235132447. The reversal of 105235132441 is 144231532501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74966440000 + 30268692441 = 273800^2 + 173979^2 .

It is a cyclic number.

It is not a de Polignac number, because 105235132441 - 23 = 105235132433 is a prime.

It is a super-2 number, since 2×1052351324412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105235132447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52617566220 + 52617566221.

It is an arithmetic number, because the mean of its divisors is an integer number (52617566221).

Almost surely, 2105235132441 is an apocalyptic number.

It is an amenable number.

105235132441 is a deficient number, since it is larger than the sum of its proper divisors (1).

105235132441 is an equidigital number, since it uses as much as digits as its factorization.

105235132441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 105235132441 its reverse (144231532501), we get a palindrome (249466664942).

The spelling of 105235132441 in words is "one hundred five billion, two hundred thirty-five million, one hundred thirty-two thousand, four hundred forty-one".