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105343431301 = 239923461569
BaseRepresentation
bin110001000011011110…
…1010011001010000101
3101001220120020202222201
41202012331103022011
53211220404300201
6120221043154501
710416336251263
oct1420675231205
9331816222881
10105343431301
1140748691129
12184bb375a31
139c1a864704
14515499d433
152b183cd801
hex1886f53285

105343431301 has 8 divisors (see below), whose sum is σ = 109934896320. Its totient is φ = 100752909312.

The previous prime is 105343431257. The next prime is 105343431313. The reversal of 105343431301 is 103134343501.

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 105343431301 - 221 = 105341334149 is a prime.

It is a super-2 number, since 2×1053434313012 (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 105343431301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105343431331) 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 7 ways as a sum of consecutive naturals, for example, 2556 + ... + 459013.

It is an arithmetic number, because the mean of its divisors is an integer number (13741862040).

Almost surely, 2105343431301 is an apocalyptic number.

It is an amenable number.

105343431301 is a deficient number, since it is larger than the sum of its proper divisors (4591465019).

105343431301 is an equidigital number, since it uses as much as digits as its factorization.

105343431301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471515.

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 105343431301 its reverse (103134343501), we get a palindrome (208477774802).

The spelling of 105343431301 in words is "one hundred five billion, three hundred forty-three million, four hundred thirty-one thousand, three hundred one".

Divisors: 1 23 9923 228229 461569 10616087 4580149187 105343431301