Search a number
-
+
330310032211301 = 37611709208940993
BaseRepresentation
bin100101100011010100100110…
…0001000101011110101100101
31121022112022221001221111210212
41023012221030020223311211
5321243244421221230201
63130302200045425205
7126401053343402252
oct11306511410536545
91538468831844725
10330310032211301
119627977502269a
123106836956b205
1311240143c2a76c
145b7d13b470429
15282c1c6918abb
hex12c6a4c22bd65

330310032211301 has 32 divisors (see below), whose sum is σ = 345173923749600. Its totient is φ = 315770256506880.

The previous prime is 330310032211279. The next prime is 330310032211343. The reversal of 330310032211301 is 103112230013033.

It can be written as a sum of positive squares in 16 ways, for example, as 110984328708100 + 219325703503201 = 10534910^2 + 14809649^2 .

It is a de Polignac number, because none of the positive numbers 2k-330310032211301 is a prime.

It is a super-2 number, since 2×3303100322113012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330310032211351) 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, 8057697461 + ... + 8057738453.

It is an arithmetic number, because the mean of its divisors is an integer number (10786685117175).

Almost surely, 2330310032211301 is an apocalyptic number.

It is an amenable number.

330310032211301 is a deficient number, since it is larger than the sum of its proper divisors (14863891538299).

330310032211301 is a wasteful number, since it uses less digits than its factorization.

330310032211301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44889.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 330310032211301 its reverse (103112230013033), we get a palindrome (433422262224334).

The spelling of 330310032211301 in words is "three hundred thirty trillion, three hundred ten billion, thirty-two million, two hundred eleven thousand, three hundred one".

Divisors: 1 37 61 1709 2089 2257 40993 63233 77293 104249 127429 1516741 2500573 3570101 3857213 4714873 70057037 85634377 92521201 132093737 217776161 2592110369 3168471949 4273479257 5223696997 8057717957 146349150293 158118732509 193276788889 5414918560841 8927298167873 330310032211301