Search a number
-
+
105336351101 = 1929191173051
BaseRepresentation
bin110001000011010001…
…0010010100101111101
3101001220001221001210002
41202012202102211331
53211212101213401
6120220231324045
710416222132302
oct1420642224575
9331801831702
10105336351101
1140744695723
12184b8b20625
139c19255b47
145153a790a9
152b17980a6b
hex188689297d

105336351101 has 8 divisors (see below), whose sum is σ = 114703831200. Its totient is φ = 96351217200.

The previous prime is 105336351091. The next prime is 105336351151. The reversal of 105336351101 is 101153633501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105336351101 - 230 = 104262609277 is a prime.

It is a super-2 number, since 2×1053363511012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105336351151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95585975 + ... + 95587076.

It is an arithmetic number, because the mean of its divisors is an integer number (14337978900).

Almost surely, 2105336351101 is an apocalyptic number.

It is an amenable number.

105336351101 is a deficient number, since it is larger than the sum of its proper divisors (9367480099).

105336351101 is a wasteful number, since it uses less digits than its factorization.

105336351101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191173099.

The product of its (nonzero) digits is 4050, while the sum is 29.

Adding to 105336351101 its reverse (101153633501), we get a palindrome (206489984602).

The spelling of 105336351101 in words is "one hundred five billion, three hundred thirty-six million, three hundred fifty-one thousand, one hundred one".

Divisors: 1 19 29 551 191173051 3632287969 5544018479 105336351101