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331221233032121 is a prime number
BaseRepresentation
bin100101101001111100111001…
…1111011111101101110111001
31121102202102220020001020122202
41023103321303323331232321
5321403212041124011441
63132240533413355545
7126523641632522135
oct11323716373755671
91542672806036582
10331221233032121
11965a01551439a3
1231194a88938bb5
13112a804a0c4ca3
145bb129c2803c5
152845c5745219b
hex12d3e73efdbb9

331221233032121 has 2 divisors, whose sum is σ = 331221233032122. Its totient is φ = 331221233032120.

The previous prime is 331221233032103. The next prime is 331221233032169. The reversal of 331221233032121 is 121230332122133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 306742437796096 + 24478795236025 = 17514064^2 + 4947605^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331221233032121 is a prime.

It is a super-2 number, since 2×3312212330321212 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331221233032621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165610616516060 + 165610616516061.

It is an arithmetic number, because the mean of its divisors is an integer number (165610616516061).

Almost surely, 2331221233032121 is an apocalyptic number.

It is an amenable number.

331221233032121 is a deficient number, since it is larger than the sum of its proper divisors (1).

331221233032121 is an equidigital number, since it uses as much as digits as its factorization.

331221233032121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 331221233032121 its reverse (121230332122133), we get a palindrome (452451565154254).

The spelling of 331221233032121 in words is "three hundred thirty-one trillion, two hundred twenty-one billion, two hundred thirty-three million, thirty-two thousand, one hundred twenty-one".