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213152242297 is a prime number
BaseRepresentation
bin1100011010000011011…
…1010001101001111001
3202101011221112211010111
43012200313101221321
511443013433223142
6241530520144321
721254053110511
oct3064067215171
9671157484114
10213152242297
118244097a535
12353883080a1
131713c0c6577
14a460b5a841
155827e49e17
hex31a0dd1a79

213152242297 has 2 divisors, whose sum is σ = 213152242298. Its totient is φ = 213152242296.

The previous prime is 213152242253. The next prime is 213152242327. The reversal of 213152242297 is 792242251312.

213152242297 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., 199062314896 + 14089927401 = 446164^2 + 118701^2 .

It is a cyclic number.

It is not a de Polignac number, because 213152242297 - 219 = 213151718009 is a prime.

It is not a weakly prime, because it can be changed into another prime (213152272297) 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, 106576121148 + 106576121149.

It is an arithmetic number, because the mean of its divisors is an integer number (106576121149).

Almost surely, 2213152242297 is an apocalyptic number.

It is an amenable number.

213152242297 is a deficient number, since it is larger than the sum of its proper divisors (1).

213152242297 is an equidigital number, since it uses as much as digits as its factorization.

213152242297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 40.

The spelling of 213152242297 in words is "two hundred thirteen billion, one hundred fifty-two million, two hundred forty-two thousand, two hundred ninety-seven".