Search a number
-
+
332121123361 is a prime number
BaseRepresentation
bin1001101010100111111…
…01100010101000100001
31011202021002111011100201
410311103331202220201
520420141001421421
6412324020145201
732665161653326
oct4652375425041
91152232434321
10332121123361
11118940796745
125444a838201
132541b799391
1412109174b4d
15898c623b91
hex4d53f62a21

332121123361 has 2 divisors, whose sum is σ = 332121123362. Its totient is φ = 332121123360.

The previous prime is 332121123353. The next prime is 332121123401. The reversal of 332121123361 is 163321121233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331943061025 + 178062336 = 576145^2 + 13344^2 .

It is a cyclic number.

It is not a de Polignac number, because 332121123361 - 23 = 332121123353 is a prime.

It is a super-2 number, since 2×3321211233612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (332121123461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166060561680 + 166060561681.

It is an arithmetic number, because the mean of its divisors is an integer number (166060561681).

Almost surely, 2332121123361 is an apocalyptic number.

It is an amenable number.

332121123361 is a deficient number, since it is larger than the sum of its proper divisors (1).

332121123361 is an equidigital number, since it uses as much as digits as its factorization.

332121123361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 28.

Adding to 332121123361 its reverse (163321121233), we get a palindrome (495442244594).

The spelling of 332121123361 in words is "three hundred thirty-two billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred sixty-one".