Search a number
-
+
321411242114123 = 7367176801162859
BaseRepresentation
bin100100100010100100110001…
…0111010011011110001001011
31120011000121121002102110100212
41021011021202322123301023
5314112000210440122443
63055330141454351335
7124462124130533660
oct11105114272336113
91504017532373325
10321411242114123
1193458818aaa557
123006b79a7bb54b
1310a45c4742b245
14595255c395a67
15272599d7bb618
hex1245262e9bc4b

321411242114123 has 16 divisors (see below), whose sum is σ = 367434235998720. Its totient is φ = 275415026688000.

The previous prime is 321411242114111. The next prime is 321411242114153.

321411242114123 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 321411242114123 - 216 = 321411242048587 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 321411242114123.

It is not an unprimeable number, because it can be changed into a prime (321411242114153) 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, 1973473868 + ... + 1973636726.

It is an arithmetic number, because the mean of its divisors is an integer number (22964639749920).

Almost surely, 2321411242114123 is an apocalyptic number.

321411242114123 is a deficient number, since it is larger than the sum of its proper divisors (46022993884597).

321411242114123 is a wasteful number, since it uses less digits than its factorization.

321411242114123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243338.

The product of its digits is 9216, while the sum is 32.

The spelling of 321411242114123 in words is "three hundred twenty-one trillion, four hundred eleven billion, two hundred forty-two million, one hundred fourteen thousand, one hundred twenty-three".

Divisors: 1 7 3671 25697 76801 162859 537607 1140013 281936471 597855389 1973555297 4184987723 12507734059 87554138413 45915891730589 321411242114123