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212121102303293 is a prime number
BaseRepresentation
bin110000001110110001001010…
…111100111100000000111101
31000211001120122100001120201012
4300032301022330330000331
5210300343004142201133
62031051031130125005
762452146442040621
oct6016611274740075
91024046570046635
10212121102303293
11616520662a0027
121b95a5a7b80765
139148c1b341ca1
143a54a050c7181
15197cb53b03b48
hexc0ec4af3c03d

212121102303293 has 2 divisors, whose sum is σ = 212121102303294. Its totient is φ = 212121102303292.

The previous prime is 212121102303259. The next prime is 212121102303379. The reversal of 212121102303293 is 392303201121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159486033773284 + 52635068530009 = 12628778^2 + 7255003^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121102303293 - 234 = 212103922434109 is a prime.

It is a super-3 number, since 3×2121211023032933 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212121102303193) 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, 106060551151646 + 106060551151647.

It is an arithmetic number, because the mean of its divisors is an integer number (106060551151647).

Almost surely, 2212121102303293 is an apocalyptic number.

It is an amenable number.

212121102303293 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121102303293 is an equidigital number, since it uses as much as digits as its factorization.

212121102303293 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 32.

The spelling of 212121102303293 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred two million, three hundred three thousand, two hundred ninety-three".