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23233113133 is a prime number
BaseRepresentation
bin10101101000110011…
…010010110000101101
32012222011012102200121
4111220303102300231
5340040134110013
614401222124541
71451511126466
oct255063226055
965864172617
1023233113133
11994253984a
124604880751
13226346b429
1411a584dd6d
1590ea0a58d
hex568cd2c2d

23233113133 has 2 divisors, whose sum is σ = 23233113134. Its totient is φ = 23233113132.

The previous prime is 23233113131. The next prime is 23233113139. The reversal of 23233113133 is 33131133232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12995316009 + 10237797124 = 113997^2 + 101182^2 .

It is a cyclic number.

It is not a de Polignac number, because 23233113133 - 21 = 23233113131 is a prime.

Together with 23233113131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 23233113098 and 23233113107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23233113131) 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, 11616556566 + 11616556567.

It is an arithmetic number, because the mean of its divisors is an integer number (11616556567).

Almost surely, 223233113133 is an apocalyptic number.

It is an amenable number.

23233113133 is a deficient number, since it is larger than the sum of its proper divisors (1).

23233113133 is an equidigital number, since it uses as much as digits as its factorization.

23233113133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 25.

Adding to 23233113133 its reverse (33131133232), we get a palindrome (56364246365).

The spelling of 23233113133 in words is "twenty-three billion, two hundred thirty-three million, one hundred thirteen thousand, one hundred thirty-three".