Search a number
-
+
332173303371233 is a prime number
BaseRepresentation
bin100101110000111000001111…
…1110000000101010111100001
31121120010110100122100121212022
41023201300133300011113201
5322014311411130334413
63134250150421111225
7126652505055055412
oct11341603760052741
91546113318317768
10332173303371233
11969279a80161a5
12313094b3258515
1311346a6752512c
145c053b8d21809
1528608cae7c608
hex12e1c1fc055e1

332173303371233 has 2 divisors, whose sum is σ = 332173303371234. Its totient is φ = 332173303371232.

The previous prime is 332173303371211. The next prime is 332173303371323.

332173303371233 is nontrivially palindromic in base 10.

Together with next prime (332173303371323) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 332154707412544 + 18595958689 = 18225112^2 + 136367^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 332173303371233 - 232 = 332169008403937 is a prime.

It is a super-3 number, since 3×3321733033712333 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (332173303371433) 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 as a sum of consecutive naturals, namely, 166086651685616 + 166086651685617.

It is an arithmetic number, because the mean of its divisors is an integer number (166086651685617).

Almost surely, 2332173303371233 is an apocalyptic number.

It is an amenable number.

332173303371233 is a deficient number, since it is larger than the sum of its proper divisors (1).

332173303371233 is an equidigital number, since it uses as much as digits as its factorization.

332173303371233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1285956, while the sum is 44.

It can be divided in two parts, 33217330 and 3371233, that added together give a palindrome (36588563).

The spelling of 332173303371233 in words is "three hundred thirty-two trillion, one hundred seventy-three billion, three hundred three million, three hundred seventy-one thousand, two hundred thirty-three".