Search a number
-
+
123335431311343 = 107193401106314011
BaseRepresentation
bin11100000010110001000100…
…100100100100111111101111
3121011200202022021020110000011
4130002301010210210333233
5112131211430403430333
61114151303121314051
734656455651431456
oct3402610444447757
9534622267213004
10123335431311343
1136331298699879
12119bb296495927
1353a8634464554
1422656769a9b9d
15e3d386dd49cd
hex702c44924fef

123335431311343 has 32 divisors (see below), whose sum is σ = 125572139868672. Its totient is φ = 121123869696000.

The previous prime is 123335431311341. The next prime is 123335431311353. The reversal of 123335431311343 is 343113134533321.

It is a cyclic number.

It is not a de Polignac number, because 123335431311343 - 21 = 123335431311341 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123335431311296 and 123335431311305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123335431311341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8802750208 + ... + 8802764218.

It is an arithmetic number, because the mean of its divisors is an integer number (3924129370896).

Almost surely, 2123335431311343 is an apocalyptic number.

123335431311343 is a deficient number, since it is larger than the sum of its proper divisors (2236708557329).

123335431311343 is a wasteful number, since it uses less digits than its factorization.

123335431311343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15775.

The product of its digits is 349920, while the sum is 40.

Adding to 123335431311343 its reverse (343113134533321), we get a palindrome (466448565844664).

The spelling of 123335431311343 in words is "one hundred twenty-three trillion, three hundred thirty-five billion, four hundred thirty-one million, three hundred eleven thousand, three hundred forty-three".

Divisors: 1 107 193 401 1063 14011 20651 42907 77393 113741 205159 426263 1499177 2704123 5618411 8281051 14893693 21952013 45610141 82268759 289341161 601169977 1084353323 1593625151 2874482749 5972370893 8802757213 116025805561 307569654143 639043685551 1152667582349 123335431311343