Search a number
-
+
332313242313233 is a prime number
BaseRepresentation
bin100101110001111001011010…
…0110000110010001000010001
31121120121211120020011102210002
41023203302310300302020101
5322024110010013010413
63134434332422215345
7126665560635333146
oct11343626460621021
91546554506142702
10332313242313233
1196981288996585
1231330648584555
131135700955971c
145c0c0923b83cd
15286436b63c958
hex12e3cb4c32211

332313242313233 has 2 divisors, whose sum is σ = 332313242313234. Its totient is φ = 332313242313232.

The previous prime is 332313242313191. The next prime is 332313242313277.

332313242313233 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., 293732398336129 + 38580843977104 = 17138623^2 + 6211348^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 332313242313233 - 28 = 332313242312977 is a prime.

It is a super-2 number, since 2×3323132423132332 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (332313242343233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166156621156616 + 166156621156617.

It is an arithmetic number, because the mean of its divisors is an integer number (166156621156617).

Almost surely, 2332313242313233 is an apocalyptic number.

It is an amenable number.

332313242313233 is a deficient number, since it is larger than the sum of its proper divisors (1).

332313242313233 is an equidigital number, since it uses as much as digits as its factorization.

332313242313233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 419904, while the sum is 38.

The spelling of 332313242313233 in words is "three hundred thirty-two trillion, three hundred thirteen billion, two hundred forty-two million, three hundred thirteen thousand, two hundred thirty-three".