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213221020169 is a prime number
BaseRepresentation
bin1100011010010011110…
…1101001001000001001
3202101100201222002122002
43012210331221020021
511443134040121134
6241541414240345
721255546524213
oct3064475511011
9671321862562
10213221020169
1182476786353
12353a73560b5
1317150427a31
14a469d415b3
15582ded387e
hex31a4f69209

213221020169 has 2 divisors, whose sum is σ = 213221020170. Its totient is φ = 213221020168.

The previous prime is 213221020121. The next prime is 213221020277. The reversal of 213221020169 is 961020122312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179023764544 + 34197255625 = 423112^2 + 184925^2 .

It is a cyclic number.

It is not a de Polignac number, because 213221020169 - 220 = 213219971593 is a prime.

It is a super-2 number, since 2×2132210201692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213221070169) 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, 106610510084 + 106610510085.

It is an arithmetic number, because the mean of its divisors is an integer number (106610510085).

Almost surely, 2213221020169 is an apocalyptic number.

It is an amenable number.

213221020169 is a deficient number, since it is larger than the sum of its proper divisors (1).

213221020169 is an equidigital number, since it uses as much as digits as its factorization.

213221020169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 213221020169 in words is "two hundred thirteen billion, two hundred twenty-one million, twenty thousand, one hundred sixty-nine".