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213002122213 is a prime number
BaseRepresentation
bin1100011001011111101…
…0100111001111100101
3202100210111001221002101
43012113322213033211
511442212020402323
6241503554412101
721250251110566
oct3062772471745
9670714057071
10213002122213
1182374166051
1235345b91031
1317116c84b0a
14a448c4016d
155819b94dad
hex3197ea73e5

213002122213 has 2 divisors, whose sum is σ = 213002122214. Its totient is φ = 213002122212.

The previous prime is 213002122211. The next prime is 213002122273. The reversal of 213002122213 is 312221200312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185573131524 + 27428990689 = 430782^2 + 165617^2 .

It is a cyclic number.

It is not a de Polignac number, because 213002122213 - 21 = 213002122211 is a prime.

Together with 213002122211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213002122211) 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, 106501061106 + 106501061107.

It is an arithmetic number, because the mean of its divisors is an integer number (106501061107).

Almost surely, 2213002122213 is an apocalyptic number.

It is an amenable number.

213002122213 is a deficient number, since it is larger than the sum of its proper divisors (1).

213002122213 is an equidigital number, since it uses as much as digits as its factorization.

213002122213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213002122213 its reverse (312221200312), we get a palindrome (525223322525).

The spelling of 213002122213 in words is "two hundred thirteen billion, two million, one hundred twenty-two thousand, two hundred thirteen".