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105233205431 = 389433624763
BaseRepresentation
bin110001000000001100…
…0110100100010110111
3101001121212211201112002
41202000120310202313
53211004200033211
6120202104445515
710413530326124
oct1420030644267
9331555751462
10105233205431
11406a1445872
121848a47989b
139c00a805c3
1451440a974b
152b0d8a903b
hex18806348b7

105233205431 has 8 divisors (see below), whose sum is σ = 105747554640. Its totient is φ = 104720107392.

The previous prime is 105233205403. The next prime is 105233205491. The reversal of 105233205431 is 134502332501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105233205431 is a prime.

It is a super-2 number, since 2×1052332054312 (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 = 105233205394 and 105233205403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105233205491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143945 + ... + 480818.

It is an arithmetic number, because the mean of its divisors is an integer number (13218444330).

Almost surely, 2105233205431 is an apocalyptic number.

105233205431 is a deficient number, since it is larger than the sum of its proper divisors (514349209).

105233205431 is an equidigital number, since it uses as much as digits as its factorization.

105233205431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625585.

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 105233205431 its reverse (134502332501), we get a palindrome (239735537932).

The spelling of 105233205431 in words is "one hundred five billion, two hundred thirty-three million, two hundred five thousand, four hundred thirty-one".

Divisors: 1 389 433 168437 624763 243032807 270522379 105233205431