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212312203009 is a prime number
BaseRepresentation
bin1100010110111011001…
…0110001111100000001
3202022000101212101212021
43011232302301330001
511434303410444014
6241311311201441
721224202643414
oct3055662617401
9668011771767
10212312203009
118204a781595
1235192b16281
1317037064cba
14a3c136bb7b
1557c9314624
hex316ecb1f01

212312203009 has 2 divisors, whose sum is σ = 212312203010. Its totient is φ = 212312203008.

The previous prime is 212312202961. The next prime is 212312203031. The reversal of 212312203009 is 900302213212.

212312203009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194015582784 + 18296620225 = 440472^2 + 135265^2 .

It is a cyclic number.

It is not a de Polignac number, because 212312203009 - 237 = 74873249537 is a prime.

It is not a weakly prime, because it can be changed into another prime (212312203409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106156101504 + 106156101505.

It is an arithmetic number, because the mean of its divisors is an integer number (106156101505).

Almost surely, 2212312203009 is an apocalyptic number.

It is an amenable number.

212312203009 is a deficient number, since it is larger than the sum of its proper divisors (1).

212312203009 is an equidigital number, since it uses as much as digits as its factorization.

212312203009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 212312203009 in words is "two hundred twelve billion, three hundred twelve million, two hundred three thousand, nine".