Search a number
-
+
332123332133 is a prime number
BaseRepresentation
bin1001101010101000001…
…01111101111000100101
31011202021020122101020002
410311110011331320211
520420142033112013
6412324135351045
732665216513025
oct4652405757045
91152236571202
10332123332133
11118941a6517a
125444b522485
132541c090848
141210958ba85
15898c90d358
hex4d5417de25

332123332133 has 2 divisors, whose sum is σ = 332123332134. Its totient is φ = 332123332132.

The previous prime is 332123332117. The next prime is 332123332169. The reversal of 332123332133 is 331233321233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295258564129 + 36864768004 = 543377^2 + 192002^2 .

It is a cyclic number.

It is not a de Polignac number, because 332123332133 - 24 = 332123332117 is a prime.

It is a super-2 number, since 2×3321233321332 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 332123332096 and 332123332105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332123352133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166061666066 + 166061666067.

It is an arithmetic number, because the mean of its divisors is an integer number (166061666067).

Almost surely, 2332123332133 is an apocalyptic number.

It is an amenable number.

332123332133 is a deficient number, since it is larger than the sum of its proper divisors (1).

332123332133 is an equidigital number, since it uses as much as digits as its factorization.

332123332133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17496, while the sum is 29.

Adding to 332123332133 its reverse (331233321233), we get a palindrome (663356653366).

The spelling of 332123332133 in words is "three hundred thirty-two billion, one hundred twenty-three million, three hundred thirty-two thousand, one hundred thirty-three".