Search a number
-
+
105410435343 = 39711314332237
BaseRepresentation
bin110001000101011110…
…0111001100100001111
3101002002020022221020220
41202022330321210033
53211340032412333
6120231435242423
710421111626323
oct1421274714417
9332066287226
10105410435343
1140782496274
12185198a9413
139c2b6c4685
14515d841983
152b1e2168b3
hex188af3990f

105410435343 has 32 divisors (see below), whose sum is σ = 143416840896. Its totient is φ = 68854775808.

The previous prime is 105410435329. The next prime is 105410435357. The reversal of 105410435343 is 343534014501.

It is an interprime number because it is at equal distance from previous prime (105410435329) and next prime (105410435357).

It is not a de Polignac number, because 105410435343 - 28 = 105410435087 is a prime.

It is a super-2 number, since 2×1054104353432 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105410435323) 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 in 31 ways as a sum of consecutive naturals, for example, 47120221 + ... + 47122457.

It is an arithmetic number, because the mean of its divisors is an integer number (4481776278).

Almost surely, 2105410435343 is an apocalyptic number.

105410435343 is a deficient number, since it is larger than the sum of its proper divisors (38006405553).

105410435343 is a wasteful number, since it uses less digits than its factorization.

105410435343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883.

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 105410435343 its reverse (343534014501), we get a palindrome (448944449844).

The spelling of 105410435343 in words is "one hundred five billion, four hundred ten million, four hundred thirty-five thousand, three hundred forty-three".

Divisors: 1 3 97 113 291 339 1433 2237 4299 6711 10961 32883 139001 161929 216989 252781 417003 485787 650967 758343 3205621 9616863 15707113 24519757 47121339 73559271 310945237 362235173 932835711 1086705519 35136811781 105410435343