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213200332297 is a prime number
BaseRepresentation
bin1100011010001110111…
…0101110011000001001
3202101022022001001012121
43012203232232120021
511443113241113142
6241535355011241
721255205631551
oct3064356563011
9671268031177
10213200332297
1182466036237
12353a0439b21
13171490634a4
14a4672b8161
15582c298c67
hex31a3bae609

213200332297 has 2 divisors, whose sum is σ = 213200332298. Its totient is φ = 213200332296.

The previous prime is 213200332277. The next prime is 213200332321. The reversal of 213200332297 is 792233002312.

213200332297 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., 209694389776 + 3505942521 = 457924^2 + 59211^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213200332297 is a prime.

It is not a weakly prime, because it can be changed into another prime (213200332277) 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, 106600166148 + 106600166149.

It is an arithmetic number, because the mean of its divisors is an integer number (106600166149).

Almost surely, 2213200332297 is an apocalyptic number.

It is an amenable number.

213200332297 is a deficient number, since it is larger than the sum of its proper divisors (1).

213200332297 is an equidigital number, since it uses as much as digits as its factorization.

213200332297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 34.

The spelling of 213200332297 in words is "two hundred thirteen billion, two hundred million, three hundred thirty-two thousand, two hundred ninety-seven".