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23522381012309 is a prime number
BaseRepresentation
bin1010101100100101110110…
…01010100001110101010101
310002021201101011202201110012
411112102323022201311111
511040342314014343214
6122010011015410005
74645302346434164
oct526227312416525
9102251334681405
1023522381012309
117549870943aa3
12277a965983905
1310181c6a0754a
145b46bc9793db
152abd0eeee03e
hex1564bb2a1d55

23522381012309 has 2 divisors, whose sum is σ = 23522381012310. Its totient is φ = 23522381012308.

The previous prime is 23522381012279. The next prime is 23522381012311. The reversal of 23522381012309 is 90321018322532.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16686587746084 + 6835793266225 = 4084922^2 + 2614535^2 .

It is a cyclic number.

It is not a de Polignac number, because 23522381012309 - 224 = 23522364235093 is a prime.

It is a super-2 number, since 2×235223810123092 (a number of 28 digits) contains 22 as substring.

Together with 23522381012311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23522386012309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11761190506154 + 11761190506155.

It is an arithmetic number, because the mean of its divisors is an integer number (11761190506155).

Almost surely, 223522381012309 is an apocalyptic number.

It is an amenable number.

23522381012309 is a deficient number, since it is larger than the sum of its proper divisors (1).

23522381012309 is an equidigital number, since it uses as much as digits as its factorization.

23522381012309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 23522381012309 in words is "twenty-three trillion, five hundred twenty-two billion, three hundred eighty-one million, twelve thousand, three hundred nine".