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213011012209 is a prime number
BaseRepresentation
bin1100011001100001110…
…0100001101001110001
3202100211002210120212111
43012120130201221301
511442221304342314
6241504513125321
721250416505132
oct3063034415161
9670732716774
10213011012209
1182379188256
1235348b59841
1317118a78378
14a44a0b5c89
15581a84dec4
hex3198721a71

213011012209 has 2 divisors, whose sum is σ = 213011012210. Its totient is φ = 213011012208.

The previous prime is 213011012173. The next prime is 213011012237. The reversal of 213011012209 is 902210110312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212794922209 + 216090000 = 461297^2 + 14700^2 .

It is a cyclic number.

It is not a de Polignac number, because 213011012209 - 223 = 213002623601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213011012209.

It is not a weakly prime, because it can be changed into another prime (213011012239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106505506104 + 106505506105.

It is an arithmetic number, because the mean of its divisors is an integer number (106505506105).

Almost surely, 2213011012209 is an apocalyptic number.

It is an amenable number.

213011012209 is a deficient number, since it is larger than the sum of its proper divisors (1).

213011012209 is an equidigital number, since it uses as much as digits as its factorization.

213011012209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 213011012209 in words is "two hundred thirteen billion, eleven million, twelve thousand, two hundred nine".