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13200022193 is a prime number
BaseRepresentation
bin11000100101100100…
…00101101010110001
31021001221011121022212
430102302011222301
5204013201202233
610021454141505
7645052223501
oct142262055261
937057147285
1013200022193
115664083056
1226847b1895
131324966127
148d3155a01
15523cb2a48
hex312c85ab1

13200022193 has 2 divisors, whose sum is σ = 13200022194. Its totient is φ = 13200022192.

The previous prime is 13200022163. The next prime is 13200022229. The reversal of 13200022193 is 39122000231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11493340849 + 1706681344 = 107207^2 + 41312^2 .

It is a cyclic number.

It is not a de Polignac number, because 13200022193 - 232 = 8905054897 is a prime.

It is a super-3 number, since 3×132000221933 (a number of 31 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13200022103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600011096 + 6600011097.

It is an arithmetic number, because the mean of its divisors is an integer number (6600011097).

Almost surely, 213200022193 is an apocalyptic number.

It is an amenable number.

13200022193 is a deficient number, since it is larger than the sum of its proper divisors (1).

13200022193 is an equidigital number, since it uses as much as digits as its factorization.

13200022193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 13200022193 in words is "thirteen billion, two hundred million, twenty-two thousand, one hundred ninety-three".