Search a number
-
+
122132320113 = 3731518736721
BaseRepresentation
bin111000110111110100…
…1110100111101110001
3102200020121111200210110
41301233221310331301
54000111333220423
6132035023251533
711552360410056
oct1615751647561
9380217450713
10122132320113
1147883568851
121b805a49ba9
13b694bb024b
145ca860702d
15329c2a4193
hex1c6fa74f71

122132320113 has 16 divisors (see below), whose sum is σ = 165089185856. Its totient is φ = 80298708480.

The previous prime is 122132320111. The next prime is 122132320151. The reversal of 122132320113 is 311023231221.

It is not a de Polignac number, because 122132320113 - 21 = 122132320111 is a prime.

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 122132320113.

It is not an unprimeable number, because it can be changed into a prime (122132320111) 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 15 ways as a sum of consecutive naturals, for example, 3307593 + ... + 3344313.

It is an arithmetic number, because the mean of its divisors is an integer number (10318074116).

Almost surely, 2122132320113 is an apocalyptic number.

It is an amenable number.

122132320113 is a deficient number, since it is larger than the sum of its proper divisors (42956865743).

122132320113 is a wasteful number, since it uses less digits than its factorization.

122132320113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51984.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122132320113 its reverse (311023231221), we get a palindrome (433155551334).

The spelling of 122132320113 in words is "one hundred twenty-two billion, one hundred thirty-two million, three hundred twenty thousand, one hundred thirteen".

Divisors: 1 3 73 219 15187 36721 45561 110163 1108651 2680633 3325953 8041899 557681827 1673045481 40710773371 122132320113