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105043240223 = 23123117412131
BaseRepresentation
bin110000111010100010…
…0001010010100011111
3101001010122101111020122
41201311010022110133
53210112032141343
6120131201105155
710406032544525
oct1416504122437
9331118344218
10105043240223
1140604197129
12184369281bb
139ba05ca95c
145126b7a315
152aebd83068
hex187510a51f

105043240223 has 16 divisors (see below), whose sum is σ = 109813896192. Its totient is φ = 100289772000.

The previous prime is 105043240219. The next prime is 105043240283. The reversal of 105043240223 is 322042340501.

It is a cyclic number.

It is not a de Polignac number, because 105043240223 - 22 = 105043240219 is a prime.

It is a super-2 number, since 2×1050432402232 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105043240192 and 105043240201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105043240283) 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 15 ways as a sum of consecutive naturals, for example, 49291868 + ... + 49293998.

It is an arithmetic number, because the mean of its divisors is an integer number (6863368512).

Almost surely, 2105043240223 is an apocalyptic number.

105043240223 is a deficient number, since it is larger than the sum of its proper divisors (4770655969).

105043240223 is a wasteful number, since it uses less digits than its factorization.

105043240223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126.

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 105043240223 its reverse (322042340501), we get a palindrome (427085580724).

The spelling of 105043240223 in words is "one hundred five billion, forty-three million, two hundred forty thousand, two hundred twenty-three".

Divisors: 1 23 1231 1741 2131 28313 40043 49013 2143171 2623261 3710071 49292933 60335003 85331633 4567097401 105043240223