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331121212222721 is a prime number
BaseRepresentation
bin100101101001001110010101…
…0001110110110110100000001
31121102101212201121020200021112
41023102130222032312310001
5321400042220312111341
63132122552424333105
7126513501213623624
oct11322345216666401
91542355647220245
10331121212222721
1196561798a95448
1231179614014195
131129b79a1aa8bb
145baa4d0563dbb
1528433514a6aeb
hex12d272a3b6d01

331121212222721 has 2 divisors, whose sum is σ = 331121212222722. Its totient is φ = 331121212222720.

The previous prime is 331121212222711. The next prime is 331121212222739. The reversal of 331121212222721 is 127222212121133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 306187528186225 + 24933684036496 = 17498215^2 + 4993364^2 .

It is a cyclic number.

It is not a de Polignac number, because 331121212222721 - 234 = 331104032353537 is a prime.

It is not a weakly prime, because it can be changed into another prime (331121212222711) 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, 165560606111360 + 165560606111361.

It is an arithmetic number, because the mean of its divisors is an integer number (165560606111361).

Almost surely, 2331121212222721 is an apocalyptic number.

It is an amenable number.

331121212222721 is a deficient number, since it is larger than the sum of its proper divisors (1).

331121212222721 is an equidigital number, since it uses as much as digits as its factorization.

331121212222721 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 32.

Adding to 331121212222721 its reverse (127222212121133), we get a palindrome (458343424343854).

The spelling of 331121212222721 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twenty-two thousand, seven hundred twenty-one".