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23201121193 is a prime number
BaseRepresentation
bin10101100110111001…
…010000001110101001
32012212221000001222221
4111212321100032221
5340003441334233
614354120314041
71450642163515
oct254671201651
965787001887
1023201121193
119926478828
1245b6012921
1322599498a3
1411a14c3145
1590bcdb42d
hex566e503a9

23201121193 has 2 divisors, whose sum is σ = 23201121194. Its totient is φ = 23201121192.

The previous prime is 23201121191. The next prime is 23201121211. The reversal of 23201121193 is 39112110232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19686054249 + 3515066944 = 140307^2 + 59288^2 .

It is a cyclic number.

It is not a de Polignac number, because 23201121193 - 21 = 23201121191 is a prime.

It is a super-2 number, since 2×232011211932 (a number of 22 digits) contains 22 as substring.

Together with 23201121191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (23201121191) 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, 11600560596 + 11600560597.

It is an arithmetic number, because the mean of its divisors is an integer number (11600560597).

Almost surely, 223201121193 is an apocalyptic number.

It is an amenable number.

23201121193 is a deficient number, since it is larger than the sum of its proper divisors (1).

23201121193 is an equidigital number, since it uses as much as digits as its factorization.

23201121193 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 25.

The spelling of 23201121193 in words is "twenty-three billion, two hundred one million, one hundred twenty-one thousand, one hundred ninety-three".