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331221033222109 is a prime number
BaseRepresentation
bin100101101001111100110100…
…0000001101111111111011101
31121102202102101022001211211221
41023103321220001233333131
5321403211134001101414
63132240501515013341
7126523633655255512
oct11323715001577735
91542672338054757
10331221033222109
11965a0062380758
1231194a31a3a251
13112a80178a6304
145bb127d90b309
152845c44b34224
hex12d3e6806ffdd

331221033222109 has 2 divisors, whose sum is σ = 331221033222110. Its totient is φ = 331221033222108.

The previous prime is 331221033222073. The next prime is 331221033222161. The reversal of 331221033222109 is 901222330122133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 329820649731225 + 1400383490884 = 18160965^2 + 1183378^2 .

It is a cyclic number.

It is not a de Polignac number, because 331221033222109 - 211 = 331221033220061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331221033222199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165610516611054 + 165610516611055.

It is an arithmetic number, because the mean of its divisors is an integer number (165610516611055).

Almost surely, 2331221033222109 is an apocalyptic number.

It is an amenable number.

331221033222109 is a deficient number, since it is larger than the sum of its proper divisors (1).

331221033222109 is an equidigital number, since it uses as much as digits as its factorization.

331221033222109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 331221033222109 in words is "three hundred thirty-one trillion, two hundred twenty-one billion, thirty-three million, two hundred twenty-two thousand, one hundred nine".