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23582043029 is a prime number
BaseRepresentation
bin10101111101100110…
…010110101110010101
32020212110202220112002
4111331212112232111
5341244000334104
614500005005045
71463246026016
oct257546265625
966773686462
1023582043029
11a0014a2a66
1246a16b3785
1322ba83b51c
1411d9d1d00d
1593048201e
hex57d996b95

23582043029 has 2 divisors, whose sum is σ = 23582043030. Its totient is φ = 23582043028.

The previous prime is 23582042999. The next prime is 23582043031. The reversal of 23582043029 is 92034028532.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22659280900 + 922762129 = 150530^2 + 30377^2 .

It is a cyclic number.

It is not a de Polignac number, because 23582043029 - 220 = 23580994453 is a prime.

It is a super-2 number, since 2×235820430292 (a number of 22 digits) contains 22 as substring.

Together with 23582043031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 23582042983 and 23582043001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23582043049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11791021514 + 11791021515.

It is an arithmetic number, because the mean of its divisors is an integer number (11791021515).

Almost surely, 223582043029 is an apocalyptic number.

It is an amenable number.

23582043029 is a deficient number, since it is larger than the sum of its proper divisors (1).

23582043029 is an equidigital number, since it uses as much as digits as its factorization.

23582043029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 23582043029 in words is "twenty-three billion, five hundred eighty-two million, forty-three thousand, twenty-nine".