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331232223121 is a prime number
BaseRepresentation
bin1001101000111101111…
…10101001111110010001
31011122222010212100110121
410310132332221332101
520411330422114441
6412055504030241
732634146304412
oct4643676517621
91148863770417
10331232223121
11118524a55848
1254241002381
132530958acc7
14120630a7809
15893958add1
hex4d1efa9f91

331232223121 has 2 divisors, whose sum is σ = 331232223122. Its totient is φ = 331232223120.

The previous prime is 331232223097. The next prime is 331232223149. The reversal of 331232223121 is 121322232133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 291264216721 + 39968006400 = 539689^2 + 199920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331232223121 is a prime.

It is not a weakly prime, because it can be changed into another prime (331232223221) 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, 165616111560 + 165616111561.

It is an arithmetic number, because the mean of its divisors is an integer number (165616111561).

Almost surely, 2331232223121 is an apocalyptic number.

It is an amenable number.

331232223121 is a deficient number, since it is larger than the sum of its proper divisors (1).

331232223121 is an equidigital number, since it uses as much as digits as its factorization.

331232223121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 25.

Adding to 331232223121 its reverse (121322232133), we get a palindrome (452554455254).

The spelling of 331232223121 in words is "three hundred thirty-one billion, two hundred thirty-two million, two hundred twenty-three thousand, one hundred twenty-one".