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331221102212009 is a prime number
BaseRepresentation
bin100101101001111100110110…
…0001000111011001110101001
31121102202102120002212220012102
41023103321230020323032221
5321403211304131241014
63132240512421423145
7126523635453544322
oct11323715410731651
91542672502786172
10331221102212009
11965a00983118a9
1231194a50b6aab5
13112a8028c80139
145bb1288b49449
152845c4ac108de
hex12d3e6c23b3a9

331221102212009 has 2 divisors, whose sum is σ = 331221102212010. Its totient is φ = 331221102212008.

The previous prime is 331221102211969. The next prime is 331221102212023. The reversal of 331221102212009 is 900212201122133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 331176412252009 + 44689960000 = 18198253^2 + 211400^2 .

It is a cyclic number.

It is not a de Polignac number, because 331221102212009 - 224 = 331221085434793 is a prime.

It is a super-2 number, since 2×3312211022120092 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331221102212069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165610551106004 + 165610551106005.

It is an arithmetic number, because the mean of its divisors is an integer number (165610551106005).

Almost surely, 2331221102212009 is an apocalyptic number.

It is an amenable number.

331221102212009 is a deficient number, since it is larger than the sum of its proper divisors (1).

331221102212009 is an equidigital number, since it uses as much as digits as its factorization.

331221102212009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 331221102212009 in words is "three hundred thirty-one trillion, two hundred twenty-one billion, one hundred two million, two hundred twelve thousand, nine".