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106824351241 = 533136439469
BaseRepresentation
bin110001101111100111…
…0100011111000001001
3101012201202212022020101
41203133032203320021
53222234013214431
6121024024325401
710501131001156
oct1433716437011
9335652768211
10106824351241
114133861a203
1218853313861
13a0c56061ba
14525553722d
152ba3409961
hex18df3a3e09

106824351241 has 8 divisors (see below), whose sum is σ = 109187653320. Its totient is φ = 104473928832.

The previous prime is 106824351209. The next prime is 106824351247. The reversal of 106824351241 is 142153428601.

It can be written as a sum of positive squares in 4 ways, for example, as 17246255625 + 89578095616 = 131325^2 + 299296^2 .

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 106824351241 - 25 = 106824351209 is a prime.

It is a super-2 number, since 2×1068243512412 (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 106824351241.

It is not an unprimeable number, because it can be changed into a prime (106824351247) 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, 3203146 + ... + 3236323.

It is an arithmetic number, because the mean of its divisors is an integer number (13648456665).

Almost surely, 2106824351241 is an apocalyptic number.

It is an amenable number.

106824351241 is a deficient number, since it is larger than the sum of its proper divisors (2363302079).

106824351241 is an equidigital number, since it uses as much as digits as its factorization.

106824351241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439835.

The product of its (nonzero) digits is 46080, while the sum is 37.

Adding to 106824351241 its reverse (142153428601), we get a palindrome (248977779842).

The spelling of 106824351241 in words is "one hundred six billion, eight hundred twenty-four million, three hundred fifty-one thousand, two hundred forty-one".

Divisors: 1 53 313 16589 6439469 341291857 2015553797 106824351241