Search a number
-
+
105411042053 is a prime number
BaseRepresentation
bin110001000101011111…
…1001101101100000101
3101002002021110202111122
41202022333031230011
53211340211321203
6120231500243325
710421120034212
oct1421277155405
9332067422448
10105411042053
1140782870089
1218519b40545
139c2b877885
14515d95cb09
152b1e2d6538
hex188afcdb05

105411042053 has 2 divisors, whose sum is σ = 105411042054. Its totient is φ = 105411042052.

The previous prime is 105411042047. The next prime is 105411042073. The reversal of 105411042053 is 350240114501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104175308644 + 1235733409 = 322762^2 + 35153^2 .

It is a cyclic number.

It is not a de Polignac number, because 105411042053 - 212 = 105411037957 is a prime.

It is a super-2 number, since 2×1054110420532 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105411042013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52705521026 + 52705521027.

It is an arithmetic number, because the mean of its divisors is an integer number (52705521027).

Almost surely, 2105411042053 is an apocalyptic number.

It is an amenable number.

105411042053 is a deficient number, since it is larger than the sum of its proper divisors (1).

105411042053 is an equidigital number, since it uses as much as digits as its factorization.

105411042053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 105411042053 its reverse (350240114501), we get a palindrome (455651156554).

The spelling of 105411042053 in words is "one hundred five billion, four hundred eleven million, forty-two thousand, fifty-three".