Search a number
-
+
332343404343233 is a prime number
BaseRepresentation
bin100101110010000111011101…
…0100011110010111111000001
31121120201201102021100022112022
41023210032322203302333001
5322030103243002440413
63134500241403211225
7130001006243344523
oct11344167243627701
91546651367308468
10332343404343233
11969930566390a8
1231336465816b15
1311359b0537325a
145c0d71415da13
1528650345c0608
hex12e43ba8f2fc1

332343404343233 has 2 divisors, whose sum is σ = 332343404343234. Its totient is φ = 332343404343232.

The previous prime is 332343404343229. The next prime is 332343404343331.

332343404343233 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198789047952049 + 133554356391184 = 14099257^2 + 11556572^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 332343404343233 - 22 = 332343404343229 is a prime.

It is a super-2 number, since 2×3323434043432332 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (332343404343733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166171702171616 + 166171702171617.

It is an arithmetic number, because the mean of its divisors is an integer number (166171702171617).

Almost surely, 2332343404343233 is an apocalyptic number.

It is an amenable number.

332343404343233 is a deficient number, since it is larger than the sum of its proper divisors (1).

332343404343233 is an equidigital number, since it uses as much as digits as its factorization.

332343404343233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6718464, while the sum is 44.

It can be divided in two parts, 33234340 and 4343233, that added together give a palindrome (37577573).

The spelling of 332343404343233 in words is "three hundred thirty-two trillion, three hundred forty-three billion, four hundred four million, three hundred forty-three thousand, two hundred thirty-three".