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105023443231 = 7110313739907
BaseRepresentation
bin110000111001111100…
…0101001000100011111
3101001002021010200212201
41201303320221010133
53210042000140411
6120125212512331
710405402352410
oct1416370510437
9331067120781
10105023443231
11405a3aa5383
121843017b6a7
139b99488a65
1451242a5807
152aea2723c1
hex1873e2911f

105023443231 has 16 divisors (see below), whose sum is σ = 120235244544. Its totient is φ = 89863903584.

The previous prime is 105023443223. The next prime is 105023443241. The reversal of 105023443231 is 132344320501.

It is a happy number.

It is not a de Polignac number, because 105023443231 - 23 = 105023443223 is a prime.

It is a super-2 number, since 2×1050234432312 (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 105023443231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105023443241) 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 15 ways as a sum of consecutive naturals, for example, 10595980 + ... + 10605886.

It is an arithmetic number, because the mean of its divisors is an integer number (7514702784).

Almost surely, 2105023443231 is an apocalyptic number.

105023443231 is a deficient number, since it is larger than the sum of its proper divisors (15211801313).

105023443231 is a wasteful number, since it uses less digits than its factorization.

105023443231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12390.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 105023443231 its reverse (132344320501), we get a palindrome (237367763732).

The spelling of 105023443231 in words is "one hundred five billion, twenty-three million, four hundred forty-three thousand, two hundred thirty-one".

Divisors: 1 7 1103 1373 7721 9611 9907 69349 1514419 10600933 10927421 13602311 76491947 95216177 15003349033 105023443231