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331222132200121 is a prime number
BaseRepresentation
bin100101101001111101010100…
…1100010000001001010111001
31121102202112012212222201021021
41023103322221202001022321
5321403220411320400441
63132241202533542441
7126524003131364161
oct11323725142011271
91542675185881237
10331222132200121
11965a0576758148
1231195099aa4a21
13112a8161489a66
145bb13458615a1
152845cab3673d1
hex12d3ea98812b9

331222132200121 has 2 divisors, whose sum is σ = 331222132200122. Its totient is φ = 331222132200120.

The previous prime is 331222132200109. The next prime is 331222132200137. The reversal of 331222132200121 is 121002231222133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312337579955625 + 18884552244496 = 17673075^2 + 4345636^2 .

It is an emirp because it is prime and its reverse (121002231222133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331222132200121 - 27 = 331222132199993 is a prime.

It is not a weakly prime, because it can be changed into another prime (331222132200821) 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, 165611066100060 + 165611066100061.

It is an arithmetic number, because the mean of its divisors is an integer number (165611066100061).

Almost surely, 2331222132200121 is an apocalyptic number.

It is an amenable number.

331222132200121 is a deficient number, since it is larger than the sum of its proper divisors (1).

331222132200121 is an equidigital number, since it uses as much as digits as its factorization.

331222132200121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 331222132200121 its reverse (121002231222133), we get a palindrome (452224363422254).

The spelling of 331222132200121 in words is "three hundred thirty-one trillion, two hundred twenty-two billion, one hundred thirty-two million, two hundred thousand, one hundred twenty-one".