Search a number
-
+
332332311302021 is a prime number
BaseRepresentation
bin100101110010000010010010…
…1010111001100111110000101
31121120200122210011211102202002
41023210010211113030332011
5322024413033143131041
63134451204532555045
7130000134324141512
oct11344044527147605
91546618704742662
10332332311302021
1196989383932048
123133428a782a85
1311358a580a0644
145c0cd80b90309
152864ad57a359b
hex12e41255ccf85

332332311302021 has 2 divisors, whose sum is σ = 332332311302022. Its totient is φ = 332332311302020.

The previous prime is 332332311302011. The next prime is 332332311302029. The reversal of 332332311302021 is 120203113233233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209250372009121 + 123081939292900 = 14465489^2 + 11094230^2 .

It is a cyclic number.

It is not a de Polignac number, because 332332311302021 - 230 = 332331237560197 is a prime.

It is a super-4 number, since 4×3323323113020214 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332332311302029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166166155651010 + 166166155651011.

It is an arithmetic number, because the mean of its divisors is an integer number (166166155651011).

Almost surely, 2332332311302021 is an apocalyptic number.

It is an amenable number.

332332311302021 is a deficient number, since it is larger than the sum of its proper divisors (1).

332332311302021 is an equidigital number, since it uses as much as digits as its factorization.

332332311302021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 332332311302021 its reverse (120203113233233), we get a palindrome (452535424535254).

The spelling of 332332311302021 in words is "three hundred thirty-two trillion, three hundred thirty-two billion, three hundred eleven million, three hundred two thousand, twenty-one".