Search a number
-
+
332133313321 is a prime number
BaseRepresentation
bin1001101010101001011…
…00000010101100101001
31011202021221102110211201
410311110230002230221
520420202112011241
6412325133324201
732665400403505
oct4652454025451
91152257373751
10332133313321
11118947662197
1254452936661
1325421176984
141210aa29305
15898d730931
hex4d54b02b29

332133313321 has 2 divisors, whose sum is σ = 332133313322. Its totient is φ = 332133313320.

The previous prime is 332133313313. The next prime is 332133313331. The reversal of 332133313321 is 123313331233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 269963376400 + 62169936921 = 519580^2 + 249339^2 .

It is a cyclic number.

It is not a de Polignac number, because 332133313321 - 23 = 332133313313 is a prime.

It is a super-2 number, since 2×3321333133212 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332133313321.

It is not a weakly prime, because it can be changed into another prime (332133313301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166066656660 + 166066656661.

It is an arithmetic number, because the mean of its divisors is an integer number (166066656661).

Almost surely, 2332133313321 is an apocalyptic number.

It is an amenable number.

332133313321 is a deficient number, since it is larger than the sum of its proper divisors (1).

332133313321 is an equidigital number, since it uses as much as digits as its factorization.

332133313321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8748, while the sum is 28.

Adding to 332133313321 its reverse (123313331233), we get a palindrome (455446644554).

The spelling of 332133313321 in words is "three hundred thirty-two billion, one hundred thirty-three million, three hundred thirteen thousand, three hundred twenty-one".