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105413224277 is a prime number
BaseRepresentation
bin110001000101100011…
…1100010011101010101
3101002002102120121221202
41202023013202131111
53211341241134102
6120232015122245
710421144423324
oct1421307423525
9332072517852
10105413224277
1140784020679
121851a813385
139c2c15cc2a
14515dd6a0bb
152b1e5b7e02
hex188b1e2755

105413224277 has 2 divisors, whose sum is σ = 105413224278. Its totient is φ = 105413224276.

The previous prime is 105413224247. The next prime is 105413224313. The reversal of 105413224277 is 772422314501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63660840721 + 41752383556 = 252311^2 + 204334^2 .

It is a cyclic number.

It is not a de Polignac number, because 105413224277 - 230 = 104339482453 is a prime.

It is a super-2 number, since 2×1054132242772 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105413224277.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105413224247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52706612138 + 52706612139.

It is an arithmetic number, because the mean of its divisors is an integer number (52706612139).

Almost surely, 2105413224277 is an apocalyptic number.

It is an amenable number.

105413224277 is a deficient number, since it is larger than the sum of its proper divisors (1).

105413224277 is an equidigital number, since it uses as much as digits as its factorization.

105413224277 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 94080, while the sum is 38.

Adding to 105413224277 its reverse (772422314501), we get a palindrome (877835538778).

The spelling of 105413224277 in words is "one hundred five billion, four hundred thirteen million, two hundred twenty-four thousand, two hundred seventy-seven".