Search a number
-
+
105484615431 = 3132839557363
BaseRepresentation
bin110001000111101011…
…1110111111100000111
3101002021101220200012120
41202033113313330013
53212013030143211
6120243045221023
710423002302646
oct1421727677407
9332241820176
10105484615431
1140810351928
121853a701773
139c40b97a10
14516963135d
152b259bad06
hex188f5f7f07

105484615431 has 16 divisors (see below), whose sum is σ = 152000317056. Its totient is φ = 64684226016.

The previous prime is 105484615427. The next prime is 105484615447. The reversal of 105484615431 is 134516484501.

It is not a de Polignac number, because 105484615431 - 22 = 105484615427 is a prime.

It is a super-2 number, since 2×1054846154312 (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 (105484615031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4767645 + ... + 4789718.

It is an arithmetic number, because the mean of its divisors is an integer number (9500019816).

Almost surely, 2105484615431 is an apocalyptic number.

105484615431 is a deficient number, since it is larger than the sum of its proper divisors (46515701625).

105484615431 is a wasteful number, since it uses less digits than its factorization.

105484615431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9557662.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 105484615431 in words is "one hundred five billion, four hundred eighty-four million, six hundred fifteen thousand, four hundred thirty-one".

Divisors: 1 3 13 39 283 849 3679 11037 9557363 28672089 124245719 372737157 2704733729 8114201187 35161538477 105484615431