Search a number
-
+
105356101523 = 509254981203
BaseRepresentation
bin110001000011110110…
…1101000011110010011
3101001221110002111021012
41202013231220132103
53211232130222043
6120222214521135
710416552041561
oct1420755503623
9331843074235
10105356101523
1140754855492
12185036661ab
139c2037c79a
14515653aa31
152b19582a18
hex1887b68793

105356101523 has 8 divisors (see below), whose sum is σ = 105605802000. Its totient is φ = 105106569568.

The previous prime is 105356101471. The next prime is 105356101531. The reversal of 105356101523 is 325101653501.

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 105356101523 - 28 = 105356101267 is a prime.

It is a super-2 number, since 2×1053561015232 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105356101523.

It is not an unprimeable number, because it can be changed into a prime (105356101723) 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 7 ways as a sum of consecutive naturals, for example, 1256840 + ... + 1338042.

It is an arithmetic number, because the mean of its divisors is an integer number (13200725250).

Almost surely, 2105356101523 is an apocalyptic number.

105356101523 is a deficient number, since it is larger than the sum of its proper divisors (249700477).

105356101523 is an equidigital number, since it uses as much as digits as its factorization.

105356101523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84261.

The product of its (nonzero) digits is 13500, while the sum is 32.

The spelling of 105356101523 in words is "one hundred five billion, three hundred fifty-six million, one hundred one thousand, five hundred twenty-three".

Divisors: 1 509 2549 81203 1297441 41332327 206986447 105356101523