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213010319993 is a prime number
BaseRepresentation
bin1100011001100001100…
…1111000101001111001
3202100211001111102022212
43012120121320221321
511442221120214433
6241504450224505
721250410563042
oct3063031705171
9670731442285
10213010319993
1182378855179
1235348885135
1317118895283
14a449d758c9
15581a763d48
hex3198678a79

213010319993 has 2 divisors, whose sum is σ = 213010319994. Its totient is φ = 213010319992.

The previous prime is 213010319989. The next prime is 213010320001. The reversal of 213010319993 is 399913010312.

213010319993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114154785424 + 98855534569 = 337868^2 + 314413^2 .

It is a cyclic number.

It is not a de Polignac number, because 213010319993 - 22 = 213010319989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213010319993.

It is not a weakly prime, because it can be changed into another prime (213010319983) 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, 106505159996 + 106505159997.

It is an arithmetic number, because the mean of its divisors is an integer number (106505159997).

Almost surely, 2213010319993 is an apocalyptic number.

It is an amenable number.

213010319993 is a deficient number, since it is larger than the sum of its proper divisors (1).

213010319993 is an equidigital number, since it uses as much as digits as its factorization.

213010319993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 41.

The spelling of 213010319993 in words is "two hundred thirteen billion, ten million, three hundred nineteen thousand, nine hundred ninety-three".