Search a number
-
+
105414535503 = 3211712726167
BaseRepresentation
bin110001000101100110…
…0100010100101001111
3101002002112001020121200
41202023030202211033
53211342110114003
6120232103200543
710421161524204
oct1421314424517
9332075036550
10105414535503
1140784836832
121851b146153
139c2c4cb9c4
1451601cbcab
152b1e7766a3
hex188b32294f

105414535503 has 6 divisors (see below), whose sum is σ = 152265440184. Its totient is φ = 70276356996.

The previous prime is 105414535481. The next prime is 105414535613. The reversal of 105414535503 is 305535414501.

105414535503 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 145 + 3 + 5 + 503 = 666.

It is not a de Polignac number, because 105414535503 - 213 = 105414527311 is a prime.

It is a super-2 number, since 2×1054145355032 (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 (105414535703) 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 5 ways as a sum of consecutive naturals, for example, 5856363075 + ... + 5856363092.

It is an arithmetic number, because the mean of its divisors is an integer number (25377573364).

Almost surely, 2105414535503 is an apocalyptic number.

105414535503 is a deficient number, since it is larger than the sum of its proper divisors (46850904681).

105414535503 is a wasteful number, since it uses less digits than its factorization.

105414535503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11712726173 (or 11712726170 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 105414535503 in words is "one hundred five billion, four hundred fourteen million, five hundred thirty-five thousand, five hundred three".

Divisors: 1 3 9 11712726167 35138178501 105414535503