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105343430431 = 833473657631
BaseRepresentation
bin110001000011011110…
…1010010111100011111
3101001220120020201210111
41202012331102330133
53211220404233211
6120221043150451
710416336245611
oct1420675227437
9331816221714
10105343430431
1140748690508
12184bb375427
139c1a8641b5
14515499cdb1
152b183cd421
hex1886f52f1f

105343430431 has 8 divisors (see below), whose sum is σ = 106919898624. Its totient is φ = 103774278360.

The previous prime is 105343430429. The next prime is 105343430449. The reversal of 105343430431 is 134034343501.

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

It is a cyclic number.

It is not a de Polignac number, because 105343430431 - 21 = 105343430429 is a prime.

It is a super-2 number, since 2×1053434304312 (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 = 105343430393 and 105343430402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105343430831) 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, 1800015 + ... + 1857616.

It is an arithmetic number, because the mean of its divisors is an integer number (13364987328).

Almost surely, 2105343430431 is an apocalyptic number.

105343430431 is a deficient number, since it is larger than the sum of its proper divisors (1576468193).

105343430431 is an equidigital number, since it uses as much as digits as its factorization.

105343430431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658061.

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 105343430431 its reverse (134034343501), we get a palindrome (239377773932).

The spelling of 105343430431 in words is "one hundred five billion, three hundred forty-three million, four hundred thirty thousand, four hundred thirty-one".

Divisors: 1 83 347 28801 3657631 303583373 1269197957 105343430431